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Simplifying (1 + -1ax)(1 + -1bx)(1 + -1cx)(1 + -1dx)(1 + -1ex) = 0 Multiply (1 + -1ax) * (1 + -1bx) (1(1 + -1bx) + -1ax * (1 + -1bx))(1 + -1cx)(1 + -1dx)(1 + -1ex) = 0 ((1 * 1 + -1bx * 1) + -1ax * (1 + -1bx))(1 + -1cx)(1 + -1dx)(1 + -1ex) = 0 ((1 + -1bx) + -1ax * (1 + -1bx))(1 + -1cx)(1 + -1dx)(1 + -1ex) = 0 (1 + -1bx + (1 * -1ax + -1bx * -1ax))(1 + -1cx)(1 + -1dx)(1 + -1ex) = 0 Reorder the terms: (1 + -1bx + (1abx2 + -1ax))(1 + -1cx)(1 + -1dx)(1 + -1ex) = 0 (1 + -1bx + (1abx2 + -1ax))(1 + -1cx)(1 + -1dx)(1 + -1ex) = 0 Reorder the terms: (1 + 1abx2 + -1ax + -1bx)(1 + -1cx)(1 + -1dx)(1 + -1ex) = 0 (1 + 1abx2 + -1ax + -1bx)(1 + -1cx)(1 + -1dx)(1 + -1ex) = 0 Multiply (1 + 1abx2 + -1ax + -1bx) * (1 + -1cx) (1(1 + -1cx) + 1abx2 * (1 + -1cx) + -1ax * (1 + -1cx) + -1bx * (1 + -1cx))(1 + -1dx)(1 + -1ex) = 0 ((1 * 1 + -1cx * 1) + 1abx2 * (1 + -1cx) + -1ax * (1 + -1cx) + -1bx * (1 + -1cx))(1 + -1dx)(1 + -1ex) = 0 ((1 + -1cx) + 1abx2 * (1 + -1cx) + -1ax * (1 + -1cx) + -1bx * (1 + -1cx))(1 + -1dx)(1 + -1ex) = 0 (1 + -1cx + (1 * 1abx2 + -1cx * 1abx2) + -1ax * (1 + -1cx) + -1bx * (1 + -1cx))(1 + -1dx)(1 + -1ex) = 0 Reorder the terms: (1 + -1cx + (-1abcx3 + 1abx2) + -1ax * (1 + -1cx) + -1bx * (1 + -1cx))(1 + -1dx)(1 + -1ex) = 0 (1 + -1cx + (-1abcx3 + 1abx2) + -1ax * (1 + -1cx) + -1bx * (1 + -1cx))(1 + -1dx)(1 + -1ex) = 0 (1 + -1cx + -1abcx3 + 1abx2 + (1 * -1ax + -1cx * -1ax) + -1bx * (1 + -1cx))(1 + -1dx)(1 + -1ex) = 0 Reorder the terms: (1 + -1cx + -1abcx3 + 1abx2 + (1acx2 + -1ax) + -1bx * (1 + -1cx))(1 + -1dx)(1 + -1ex) = 0 (1 + -1cx + -1abcx3 + 1abx2 + (1acx2 + -1ax) + -1bx * (1 + -1cx))(1 + -1dx)(1 + -1ex) = 0 (1 + -1cx + -1abcx3 + 1abx2 + 1acx2 + -1ax + (1 * -1bx + -1cx * -1bx))(1 + -1dx)(1 + -1ex) = 0 Reorder the terms: (1 + -1cx + -1abcx3 + 1abx2 + 1acx2 + -1ax + (1bcx2 + -1bx))(1 + -1dx)(1 + -1ex) = 0 (1 + -1cx + -1abcx3 + 1abx2 + 1acx2 + -1ax + (1bcx2 + -1bx))(1 + -1dx)(1 + -1ex) = 0 Reorder the terms: (1 + -1abcx3 + 1abx2 + 1acx2 + -1ax + 1bcx2 + -1bx + -1cx)(1 + -1dx)(1 + -1ex) = 0 (1 + -1abcx3 + 1abx2 + 1acx2 + -1ax + 1bcx2 + -1bx + -1cx)(1 + -1dx)(1 + -1ex) = 0 Multiply (1 + -1abcx3 + 1abx2 + 1acx2 + -1ax + 1bcx2 + -1bx + -1cx) * (1 + -1dx) (1(1 + -1dx) + -1abcx3 * (1 + -1dx) + 1abx2 * (1 + -1dx) + 1acx2 * (1 + -1dx) + -1ax * (1 + -1dx) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 ((1 * 1 + -1dx * 1) + -1abcx3 * (1 + -1dx) + 1abx2 * (1 + -1dx) + 1acx2 * (1 + -1dx) + -1ax * (1 + -1dx) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 ((1 + -1dx) + -1abcx3 * (1 + -1dx) + 1abx2 * (1 + -1dx) + 1acx2 * (1 + -1dx) + -1ax * (1 + -1dx) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + (1 * -1abcx3 + -1dx * -1abcx3) + 1abx2 * (1 + -1dx) + 1acx2 * (1 + -1dx) + -1ax * (1 + -1dx) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 Reorder the terms: (1 + -1dx + (1abcdx4 + -1abcx3) + 1abx2 * (1 + -1dx) + 1acx2 * (1 + -1dx) + -1ax * (1 + -1dx) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + (1abcdx4 + -1abcx3) + 1abx2 * (1 + -1dx) + 1acx2 * (1 + -1dx) + -1ax * (1 + -1dx) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + 1abcdx4 + -1abcx3 + (1 * 1abx2 + -1dx * 1abx2) + 1acx2 * (1 + -1dx) + -1ax * (1 + -1dx) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 Reorder the terms: (1 + -1dx + 1abcdx4 + -1abcx3 + (-1abdx3 + 1abx2) + 1acx2 * (1 + -1dx) + -1ax * (1 + -1dx) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + 1abcdx4 + -1abcx3 + (-1abdx3 + 1abx2) + 1acx2 * (1 + -1dx) + -1ax * (1 + -1dx) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + (1 * 1acx2 + -1dx * 1acx2) + -1ax * (1 + -1dx) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 Reorder the terms: (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + (-1acdx3 + 1acx2) + -1ax * (1 + -1dx) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + (-1acdx3 + 1acx2) + -1ax * (1 + -1dx) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + (1 * -1ax + -1dx * -1ax) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 Reorder the terms: (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + (1adx2 + -1ax) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + (1adx2 + -1ax) + 1bcx2 * (1 + -1dx) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + 1adx2 + -1ax + (1 * 1bcx2 + -1dx * 1bcx2) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 Reorder the terms: (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + 1adx2 + -1ax + (-1bcdx3 + 1bcx2) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + 1adx2 + -1ax + (-1bcdx3 + 1bcx2) + -1bx * (1 + -1dx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + 1adx2 + -1ax + -1bcdx3 + 1bcx2 + (1 * -1bx + -1dx * -1bx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 Reorder the terms: (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + 1adx2 + -1ax + -1bcdx3 + 1bcx2 + (1bdx2 + -1bx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + 1adx2 + -1ax + -1bcdx3 + 1bcx2 + (1bdx2 + -1bx) + -1cx * (1 + -1dx))(1 + -1ex) = 0 (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + 1adx2 + -1ax + -1bcdx3 + 1bcx2 + 1bdx2 + -1bx + (1 * -1cx + -1dx * -1cx))(1 + -1ex) = 0 Reorder the terms: (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + 1adx2 + -1ax + -1bcdx3 + 1bcx2 + 1bdx2 + -1bx + (1cdx2 + -1cx))(1 + -1ex) = 0 (1 + -1dx + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + 1adx2 + -1ax + -1bcdx3 + 1bcx2 + 1bdx2 + -1bx + (1cdx2 + -1cx))(1 + -1ex) = 0 Reorder the terms: (1 + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + 1adx2 + -1ax + -1bcdx3 + 1bcx2 + 1bdx2 + -1bx + 1cdx2 + -1cx + -1dx)(1 + -1ex) = 0 (1 + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + 1adx2 + -1ax + -1bcdx3 + 1bcx2 + 1bdx2 + -1bx + 1cdx2 + -1cx + -1dx)(1 + -1ex) = 0 Multiply (1 + 1abcdx4 + -1abcx3 + -1abdx3 + 1abx2 + -1acdx3 + 1acx2 + 1adx2 + -1ax + -1bcdx3 + 1bcx2 + 1bdx2 + -1bx + 1cdx2 + -1cx + -1dx) * (1 + -1ex) (1(1 + -1ex) + 1abcdx4 * (1 + -1ex) + -1abcx3 * (1 + -1ex) + -1abdx3 * (1 + -1ex) + 1abx2 * (1 + -1ex) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 ((1 * 1 + -1ex * 1) + 1abcdx4 * (1 + -1ex) + -1abcx3 * (1 + -1ex) + -1abdx3 * (1 + -1ex) + 1abx2 * (1 + -1ex) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 ((1 + -1ex) + 1abcdx4 * (1 + -1ex) + -1abcx3 * (1 + -1ex) + -1abdx3 * (1 + -1ex) + 1abx2 * (1 + -1ex) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + (1 * 1abcdx4 + -1ex * 1abcdx4) + -1abcx3 * (1 + -1ex) + -1abdx3 * (1 + -1ex) + 1abx2 * (1 + -1ex) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + (-1abcdex5 + 1abcdx4) + -1abcx3 * (1 + -1ex) + -1abdx3 * (1 + -1ex) + 1abx2 * (1 + -1ex) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + (-1abcdex5 + 1abcdx4) + -1abcx3 * (1 + -1ex) + -1abdx3 * (1 + -1ex) + 1abx2 * (1 + -1ex) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + (1 * -1abcx3 + -1ex * -1abcx3) + -1abdx3 * (1 + -1ex) + 1abx2 * (1 + -1ex) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + (1abcex4 + -1abcx3) + -1abdx3 * (1 + -1ex) + 1abx2 * (1 + -1ex) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + (1abcex4 + -1abcx3) + -1abdx3 * (1 + -1ex) + 1abx2 * (1 + -1ex) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + (1 * -1abdx3 + -1ex * -1abdx3) + 1abx2 * (1 + -1ex) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + (1abdex4 + -1abdx3) + 1abx2 * (1 + -1ex) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + (1abdex4 + -1abdx3) + 1abx2 * (1 + -1ex) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + (1 * 1abx2 + -1ex * 1abx2) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + (-1abex3 + 1abx2) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + (-1abex3 + 1abx2) + -1acdx3 * (1 + -1ex) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + (1 * -1acdx3 + -1ex * -1acdx3) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + (1acdex4 + -1acdx3) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + (1acdex4 + -1acdx3) + 1acx2 * (1 + -1ex) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + (1 * 1acx2 + -1ex * 1acx2) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + (-1acex3 + 1acx2) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + (-1acex3 + 1acx2) + 1adx2 * (1 + -1ex) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + (1 * 1adx2 + -1ex * 1adx2) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + (-1adex3 + 1adx2) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + (-1adex3 + 1adx2) + -1ax * (1 + -1ex) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + (1 * -1ax + -1ex * -1ax) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + (1aex2 + -1ax) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + (1aex2 + -1ax) + -1bcdx3 * (1 + -1ex) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + (1 * -1bcdx3 + -1ex * -1bcdx3) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + (1bcdex4 + -1bcdx3) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + (1bcdex4 + -1bcdx3) + 1bcx2 * (1 + -1ex) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + (1 * 1bcx2 + -1ex * 1bcx2) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + (-1bcex3 + 1bcx2) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + (-1bcex3 + 1bcx2) + 1bdx2 * (1 + -1ex) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + (1 * 1bdx2 + -1ex * 1bdx2) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + (-1bdex3 + 1bdx2) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + (-1bdex3 + 1bdx2) + -1bx * (1 + -1ex) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + (1 * -1bx + -1ex * -1bx) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + (1bex2 + -1bx) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + (1bex2 + -1bx) + 1cdx2 * (1 + -1ex) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + (1 * 1cdx2 + -1ex * 1cdx2) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + (-1cdex3 + 1cdx2) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + (-1cdex3 + 1cdx2) + -1cx * (1 + -1ex) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + (1 * -1cx + -1ex * -1cx) + -1dx * (1 + -1ex)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + (1cex2 + -1cx) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + (1cex2 + -1cx) + -1dx * (1 + -1ex)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + (1 * -1dx + -1ex * -1dx)) = 0 Reorder the terms: (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + (1dex2 + -1dx)) = 0 (1 + -1ex + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + (1dex2 + -1dx)) = 0 Reorder the terms: (1 + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex) = 0 (1 + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex) = 0 Solving 1 + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1 + -1ex = 0 + -1 Reorder the terms: 1 + -1 + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = 0 + -1 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = 0 + -1 Combine like terms: 0 + -1 = -1 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 Add '-1bcdex4' to each side of the equation. -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1bcdex4 + -1ex = -1 + -1bcdex4 Reorder the terms: -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcdex4 + -1bcdex4 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 Combine like terms: 1bcdex4 + -1bcdex4 = 0 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 0 + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 Add 'bcdx3' to each side of the equation. -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + bcdx3 + -1ex = -1 + -1bcdex4 + bcdx3 Reorder the terms: -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1bcdx3 + bcdx3 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 Combine like terms: -1bcdx3 + bcdx3 = 0 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 0 + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 Add 'bcex3' to each side of the equation. -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + bcex3 + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 Reorder the terms: -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1bcex3 + bcex3 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 Combine like terms: -1bcex3 + bcex3 = 0 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 0 + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 Add '-1bcx2' to each side of the equation. -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1bcx2 + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 Reorder the terms: -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bcx2 + -1bcx2 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 Combine like terms: 1bcx2 + -1bcx2 = 0 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 0 + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 Add 'bdex3' to each side of the equation. -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + bdex3 + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 Reorder the terms: -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1bdex3 + bdex3 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 Combine like terms: -1bdex3 + bdex3 = 0 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 0 + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 Add '-1bdx2' to each side of the equation. -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1bdx2 + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 Reorder the terms: -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bdx2 + -1bdx2 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 Combine like terms: 1bdx2 + -1bdx2 = 0 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 0 + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 Add '-1bex2' to each side of the equation. -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1bex2 + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 Reorder the terms: -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1bex2 + -1bex2 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 Combine like terms: 1bex2 + -1bex2 = 0 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 0 + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 Add 'bx' to each side of the equation. -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + bx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx Reorder the terms: -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1bx + bx + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx Combine like terms: -1bx + bx = 0 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 0 + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx Add 'cdex3' to each side of the equation. -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + cdex3 + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx + cdex3 Reorder the terms: -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + -1cdex3 + cdex3 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx + cdex3 Combine like terms: -1cdex3 + cdex3 = 0 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 0 + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx + cdex3 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx + cdex3 Add '-1cdx2' to each side of the equation. -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1cdx2 + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx + cdex3 + -1cdx2 Reorder the terms: -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1cdx2 + -1cdx2 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx + cdex3 + -1cdx2 Combine like terms: 1cdx2 + -1cdx2 = 0 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 0 + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx + cdex3 + -1cdx2 -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx + cdex3 + -1cdx2 Add '-1cex2' to each side of the equation. -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1cex2 + -1cx + 1dex2 + -1dx + -1cex2 + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1bcx2 + bdex3 + -1bdx2 + -1bex2 + bx + cdex3 + -1cdx2 + -1cex2 Reorder the terms: -1abcdex5 + 1abcdx4 + 1abcex4 + -1abcx3 + 1abdex4 + -1abdx3 + -1abex3 + 1abx2 + 1acdex4 + -1acdx3 + -1acex3 + 1acx2 + -1adex3 + 1adx2 + 1aex2 + -1ax + 1cex2 + -1cex2 + -1cx + 1dex2 + -1dx + -1ex = -1 + -1bcdex4 + bcdx3 + bcex3 + -1
| X-(-5)=-47 | | (1-ax)(1-bx)=0 | | 106-3x=33x+18 | | 3a+(3-a)=6 | | 7x/8-4=38 | | 12x-11=10.5x+4 | | -6(p+15)= | | -0.9x^2-3.6x+28.8= | | 1/8m=-6 | | X-37=-6 | | 1/4h=-5 | | 1/7t=9 | | -14=7(-x-4) | | X+3.8=9.7 | | 1/9b=2 | | 8b-0.3=9b | | -3x-3=15x-10 | | 1/2r=20 | | 11(z+3)-4(z-2)=3(z-4)+3(z-2) | | 7/5x=2/5 | | 4x^2+15=30 | | 2(11+3x)=12n | | 4/5x-2=10 | | 27-2(2x+1)=5x-2(5+x) | | 19+3/4x=7 | | 15y+7=112 | | X+3.9=6.7 | | 27-1(2x+1)=5x-2(5+x) | | 21x-24=10x-48 | | 27-1(2x+1)=5x-2(5+w) | | 1/6x=6 | | 2-2+36=12 |