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Simplifying (X + 9)(x + -3)(x + -7)(x + 5) = 385 Reorder the terms: (9 + X)(x + -3)(x + -7)(x + 5) = 385 Reorder the terms: (9 + X)(-3 + x)(x + -7)(x + 5) = 385 Reorder the terms: (9 + X)(-3 + x)(-7 + x)(x + 5) = 385 Reorder the terms: (9 + X)(-3 + x)(-7 + x)(5 + x) = 385 Multiply (9 + X) * (-3 + x) (9(-3 + x) + X(-3 + x))(-7 + x)(5 + x) = 385 ((-3 * 9 + x * 9) + X(-3 + x))(-7 + x)(5 + x) = 385 ((-27 + 9x) + X(-3 + x))(-7 + x)(5 + x) = 385 (-27 + 9x + (-3 * X + x * X))(-7 + x)(5 + x) = 385 (-27 + 9x + (-3X + xX))(-7 + x)(5 + x) = 385 Reorder the terms: (-27 + -3X + 9x + xX)(-7 + x)(5 + x) = 385 (-27 + -3X + 9x + xX)(-7 + x)(5 + x) = 385 Multiply (-27 + -3X + 9x + xX) * (-7 + x) (-27(-7 + x) + -3X * (-7 + x) + 9x * (-7 + x) + xX(-7 + x))(5 + x) = 385 ((-7 * -27 + x * -27) + -3X * (-7 + x) + 9x * (-7 + x) + xX(-7 + x))(5 + x) = 385 ((189 + -27x) + -3X * (-7 + x) + 9x * (-7 + x) + xX(-7 + x))(5 + x) = 385 (189 + -27x + (-7 * -3X + x * -3X) + 9x * (-7 + x) + xX(-7 + x))(5 + x) = 385 (189 + -27x + (21X + -3xX) + 9x * (-7 + x) + xX(-7 + x))(5 + x) = 385 (189 + -27x + 21X + -3xX + (-7 * 9x + x * 9x) + xX(-7 + x))(5 + x) = 385 (189 + -27x + 21X + -3xX + (-63x + 9x2) + xX(-7 + x))(5 + x) = 385 (189 + -27x + 21X + -3xX + -63x + 9x2 + (-7 * xX + x * xX))(5 + x) = 385 (189 + -27x + 21X + -3xX + -63x + 9x2 + (-7xX + x2X))(5 + x) = 385 Reorder the terms: (189 + 21X + -27x + -63x + -3xX + -7xX + 9x2 + x2X)(5 + x) = 385 Combine like terms: -27x + -63x = -90x (189 + 21X + -90x + -3xX + -7xX + 9x2 + x2X)(5 + x) = 385 Combine like terms: -3xX + -7xX = -10xX (189 + 21X + -90x + -10xX + 9x2 + x2X)(5 + x) = 385 Multiply (189 + 21X + -90x + -10xX + 9x2 + x2X) * (5 + x) (189(5 + x) + 21X * (5 + x) + -90x * (5 + x) + -10xX * (5 + x) + 9x2 * (5 + x) + x2X(5 + x)) = 385 ((5 * 189 + x * 189) + 21X * (5 + x) + -90x * (5 + x) + -10xX * (5 + x) + 9x2 * (5 + x) + x2X(5 + x)) = 385 ((945 + 189x) + 21X * (5 + x) + -90x * (5 + x) + -10xX * (5 + x) + 9x2 * (5 + x) + x2X(5 + x)) = 385 (945 + 189x + (5 * 21X + x * 21X) + -90x * (5 + x) + -10xX * (5 + x) + 9x2 * (5 + x) + x2X(5 + x)) = 385 (945 + 189x + (105X + 21xX) + -90x * (5 + x) + -10xX * (5 + x) + 9x2 * (5 + x) + x2X(5 + x)) = 385 (945 + 189x + 105X + 21xX + (5 * -90x + x * -90x) + -10xX * (5 + x) + 9x2 * (5 + x) + x2X(5 + x)) = 385 (945 + 189x + 105X + 21xX + (-450x + -90x2) + -10xX * (5 + x) + 9x2 * (5 + x) + x2X(5 + x)) = 385 (945 + 189x + 105X + 21xX + -450x + -90x2 + (5 * -10xX + x * -10xX) + 9x2 * (5 + x) + x2X(5 + x)) = 385 (945 + 189x + 105X + 21xX + -450x + -90x2 + (-50xX + -10x2X) + 9x2 * (5 + x) + x2X(5 + x)) = 385 (945 + 189x + 105X + 21xX + -450x + -90x2 + -50xX + -10x2X + (5 * 9x2 + x * 9x2) + x2X(5 + x)) = 385 (945 + 189x + 105X + 21xX + -450x + -90x2 + -50xX + -10x2X + (45x2 + 9x3) + x2X(5 + x)) = 385 (945 + 189x + 105X + 21xX + -450x + -90x2 + -50xX + -10x2X + 45x2 + 9x3 + (5 * x2X + x * x2X)) = 385 (945 + 189x + 105X + 21xX + -450x + -90x2 + -50xX + -10x2X + 45x2 + 9x3 + (5x2X + x3X)) = 385 Reorder the terms: (945 + 105X + 189x + -450x + 21xX + -50xX + -90x2 + 45x2 + -10x2X + 5x2X + 9x3 + x3X) = 385 Combine like terms: 189x + -450x = -261x (945 + 105X + -261x + 21xX + -50xX + -90x2 + 45x2 + -10x2X + 5x2X + 9x3 + x3X) = 385 Combine like terms: 21xX + -50xX = -29xX (945 + 105X + -261x + -29xX + -90x2 + 45x2 + -10x2X + 5x2X + 9x3 + x3X) = 385 Combine like terms: -90x2 + 45x2 = -45x2 (945 + 105X + -261x + -29xX + -45x2 + -10x2X + 5x2X + 9x3 + x3X) = 385 Combine like terms: -10x2X + 5x2X = -5x2X (945 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X) = 385 Solving 945 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 385 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-945' to each side of the equation. 945 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + -945 + x3X = 385 + -945 Reorder the terms: 945 + -945 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 385 + -945 Combine like terms: 945 + -945 = 0 0 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 385 + -945 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 385 + -945 Combine like terms: 385 + -945 = -560 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = -560 Add '261x' to each side of the equation. 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + 261x + x3X = -560 + 261x Reorder the terms: 105X + -261x + 261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = -560 + 261x Combine like terms: -261x + 261x = 0 105X + 0 + -29xX + -45x2 + -5x2X + 9x3 + x3X = -560 + 261x 105X + -29xX + -45x2 + -5x2X + 9x3 + x3X = -560 + 261x Add '45x2' to each side of the equation. 105X + -29xX + -45x2 + -5x2X + 9x3 + 45x2 + x3X = -560 + 261x + 45x2 Reorder the terms: 105X + -29xX + -45x2 + 45x2 + -5x2X + 9x3 + x3X = -560 + 261x + 45x2 Combine like terms: -45x2 + 45x2 = 0 105X + -29xX + 0 + -5x2X + 9x3 + x3X = -560 + 261x + 45x2 105X + -29xX + -5x2X + 9x3 + x3X = -560 + 261x + 45x2 Add '-9x3' to each side of the equation. 105X + -29xX + -5x2X + 9x3 + -9x3 + x3X = -560 + 261x + 45x2 + -9x3 Combine like terms: 9x3 + -9x3 = 0 105X + -29xX + -5x2X + 0 + x3X = -560 + 261x + 45x2 + -9x3 105X + -29xX + -5x2X + x3X = -560 + 261x + 45x2 + -9x3 Reorder the terms: 560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = -560 + 261x + 45x2 + -9x3 + 560 + -261x + -45x2 + 9x3 Reorder the terms: 560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = -560 + 560 + 261x + -261x + 45x2 + -45x2 + -9x3 + 9x3 Combine like terms: -560 + 560 = 0 560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 0 + 261x + -261x + 45x2 + -45x2 + -9x3 + 9x3 560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 261x + -261x + 45x2 + -45x2 + -9x3 + 9x3 Combine like terms: 261x + -261x = 0 560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 0 + 45x2 + -45x2 + -9x3 + 9x3 560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 45x2 + -45x2 + -9x3 + 9x3 Combine like terms: 45x2 + -45x2 = 0 560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 0 + -9x3 + 9x3 560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = -9x3 + 9x3 Combine like terms: -9x3 + 9x3 = 0 560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 0 The solution to this equation could not be determined.
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