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Simplifying (X + -3)(x + -3)(x + -4 + -2i)(x + -4 + 2i) = 0 Reorder the terms: (-3 + X)(x + -3)(x + -4 + -2i)(x + -4 + 2i) = 0 Reorder the terms: (-3 + X)(-3 + x)(x + -4 + -2i)(x + -4 + 2i) = 0 Reorder the terms: (-3 + X)(-3 + x)(-4 + -2i + x)(x + -4 + 2i) = 0 Reorder the terms: (-3 + X)(-3 + x)(-4 + -2i + x)(-4 + 2i + x) = 0 Multiply (-3 + X) * (-3 + x) (-3(-3 + x) + X(-3 + x))(-4 + -2i + x)(-4 + 2i + x) = 0 ((-3 * -3 + x * -3) + X(-3 + x))(-4 + -2i + x)(-4 + 2i + x) = 0 ((9 + -3x) + X(-3 + x))(-4 + -2i + x)(-4 + 2i + x) = 0 (9 + -3x + (-3 * X + x * X))(-4 + -2i + x)(-4 + 2i + x) = 0 (9 + -3x + (-3X + xX))(-4 + -2i + x)(-4 + 2i + x) = 0 Reorder the terms: (9 + -3X + -3x + xX)(-4 + -2i + x)(-4 + 2i + x) = 0 (9 + -3X + -3x + xX)(-4 + -2i + x)(-4 + 2i + x) = 0 Multiply (9 + -3X + -3x + xX) * (-4 + -2i + x) (9(-4 + -2i + x) + -3X * (-4 + -2i + x) + -3x * (-4 + -2i + x) + xX(-4 + -2i + x))(-4 + 2i + x) = 0 ((-4 * 9 + -2i * 9 + x * 9) + -3X * (-4 + -2i + x) + -3x * (-4 + -2i + x) + xX(-4 + -2i + x))(-4 + 2i + x) = 0 ((-36 + -18i + 9x) + -3X * (-4 + -2i + x) + -3x * (-4 + -2i + x) + xX(-4 + -2i + x))(-4 + 2i + x) = 0 (-36 + -18i + 9x + (-4 * -3X + -2i * -3X + x * -3X) + -3x * (-4 + -2i + x) + xX(-4 + -2i + x))(-4 + 2i + x) = 0 (-36 + -18i + 9x + (12X + 6iX + -3xX) + -3x * (-4 + -2i + x) + xX(-4 + -2i + x))(-4 + 2i + x) = 0 (-36 + -18i + 9x + 12X + 6iX + -3xX + (-4 * -3x + -2i * -3x + x * -3x) + xX(-4 + -2i + x))(-4 + 2i + x) = 0 Reorder the terms: (-36 + -18i + 9x + 12X + 6iX + -3xX + (6ix + 12x + -3x2) + xX(-4 + -2i + x))(-4 + 2i + x) = 0 (-36 + -18i + 9x + 12X + 6iX + -3xX + (6ix + 12x + -3x2) + xX(-4 + -2i + x))(-4 + 2i + x) = 0 (-36 + -18i + 9x + 12X + 6iX + -3xX + 6ix + 12x + -3x2 + (-4 * xX + -2i * xX + x * xX))(-4 + 2i + x) = 0 Reorder the terms: (-36 + -18i + 9x + 12X + 6iX + -3xX + 6ix + 12x + -3x2 + (-2ixX + -4xX + x2X))(-4 + 2i + x) = 0 (-36 + -18i + 9x + 12X + 6iX + -3xX + 6ix + 12x + -3x2 + (-2ixX + -4xX + x2X))(-4 + 2i + x) = 0 Reorder the terms: (-36 + 12X + -18i + 6iX + 6ix + -2ixX + 9x + 12x + -3xX + -4xX + -3x2 + x2X)(-4 + 2i + x) = 0 Combine like terms: 9x + 12x = 21x (-36 + 12X + -18i + 6iX + 6ix + -2ixX + 21x + -3xX + -4xX + -3x2 + x2X)(-4 + 2i + x) = 0 Combine like terms: -3xX + -4xX = -7xX (-36 + 12X + -18i + 6iX + 6ix + -2ixX + 21x + -7xX + -3x2 + x2X)(-4 + 2i + x) = 0 Multiply (-36 + 12X + -18i + 6iX + 6ix + -2ixX + 21x + -7xX + -3x2 + x2X) * (-4 + 2i + x) (-36(-4 + 2i + x) + 12X * (-4 + 2i + x) + -18i * (-4 + 2i + x) + 6iX * (-4 + 2i + x) + 6ix * (-4 + 2i + x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 ((-4 * -36 + 2i * -36 + x * -36) + 12X * (-4 + 2i + x) + -18i * (-4 + 2i + x) + 6iX * (-4 + 2i + x) + 6ix * (-4 + 2i + x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 ((144 + -72i + -36x) + 12X * (-4 + 2i + x) + -18i * (-4 + 2i + x) + 6iX * (-4 + 2i + x) + 6ix * (-4 + 2i + x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + (-4 * 12X + 2i * 12X + x * 12X) + -18i * (-4 + 2i + x) + 6iX * (-4 + 2i + x) + 6ix * (-4 + 2i + x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + (-48X + 24iX + 12xX) + -18i * (-4 + 2i + x) + 6iX * (-4 + 2i + x) + 6ix * (-4 + 2i + x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + (-4 * -18i + 2i * -18i + x * -18i) + 6iX * (-4 + 2i + x) + 6ix * (-4 + 2i + x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 Reorder the terms: (144 + -72i + -36x + -48X + 24iX + 12xX + (72i + -18ix + -36i2) + 6iX * (-4 + 2i + x) + 6ix * (-4 + 2i + x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + (72i + -18ix + -36i2) + 6iX * (-4 + 2i + x) + 6ix * (-4 + 2i + x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + (-4 * 6iX + 2i * 6iX + x * 6iX) + 6ix * (-4 + 2i + x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 Reorder the terms: (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + (-24iX + 6ixX + 12i2X) + 6ix * (-4 + 2i + x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + (-24iX + 6ixX + 12i2X) + 6ix * (-4 + 2i + x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + (-4 * 6ix + 2i * 6ix + x * 6ix) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 Reorder the terms: (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + (-24ix + 6ix2 + 12i2x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + (-24ix + 6ix2 + 12i2x) + -2ixX * (-4 + 2i + x) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + (-4 * -2ixX + 2i * -2ixX + x * -2ixX) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 Reorder the terms: (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + (8ixX + -2ix2X + -4i2xX) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + (8ixX + -2ix2X + -4i2xX) + 21x * (-4 + 2i + x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + 8ixX + -2ix2X + -4i2xX + (-4 * 21x + 2i * 21x + x * 21x) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 Reorder the terms: (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + 8ixX + -2ix2X + -4i2xX + (42ix + -84x + 21x2) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + 8ixX + -2ix2X + -4i2xX + (42ix + -84x + 21x2) + -7xX * (-4 + 2i + x) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + 8ixX + -2ix2X + -4i2xX + 42ix + -84x + 21x2 + (-4 * -7xX + 2i * -7xX + x * -7xX) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 Reorder the terms: (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + 8ixX + -2ix2X + -4i2xX + 42ix + -84x + 21x2 + (-14ixX + 28xX + -7x2X) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + 8ixX + -2ix2X + -4i2xX + 42ix + -84x + 21x2 + (-14ixX + 28xX + -7x2X) + -3x2 * (-4 + 2i + x) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + 8ixX + -2ix2X + -4i2xX + 42ix + -84x + 21x2 + -14ixX + 28xX + -7x2X + (-4 * -3x2 + 2i * -3x2 + x * -3x2) + x2X(-4 + 2i + x)) = 0 Reorder the terms: (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + 8ixX + -2ix2X + -4i2xX + 42ix + -84x + 21x2 + -14ixX + 28xX + -7x2X + (-6ix2 + 12x2 + -3x3) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + 8ixX + -2ix2X + -4i2xX + 42ix + -84x + 21x2 + -14ixX + 28xX + -7x2X + (-6ix2 + 12x2 + -3x3) + x2X(-4 + 2i + x)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + 8ixX + -2ix2X + -4i2xX + 42ix + -84x + 21x2 + -14ixX + 28xX + -7x2X + -6ix2 + 12x2 + -3x3 + (-4 * x2X + 2i * x2X + x * x2X)) = 0 Reorder the terms: (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + 8ixX + -2ix2X + -4i2xX + 42ix + -84x + 21x2 + -14ixX + 28xX + -7x2X + -6ix2 + 12x2 + -3x3 + (2ix2X + -4x2X + x3X)) = 0 (144 + -72i + -36x + -48X + 24iX + 12xX + 72i + -18ix + -36i2 + -24iX + 6ixX + 12i2X + -24ix + 6ix2 + 12i2x + 8ixX + -2ix2X + -4i2xX + 42ix + -84x + 21x2 + -14ixX + 28xX + -7x2X + -6ix2 + 12x2 + -3x3 + (2ix2X + -4x2X + x3X)) = 0 Reorder the terms: (144 + -48X + -72i + 72i + 24iX + -24iX + -18ix + -24ix + 42ix + 6ixX + 8ixX + -14ixX + 6ix2 + -6ix2 + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 Combine like terms: -72i + 72i = 0 (144 + -48X + 0 + 24iX + -24iX + -18ix + -24ix + 42ix + 6ixX + 8ixX + -14ixX + 6ix2 + -6ix2 + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 (144 + -48X + 24iX + -24iX + -18ix + -24ix + 42ix + 6ixX + 8ixX + -14ixX + 6ix2 + -6ix2 + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 Combine like terms: 24iX + -24iX = 0 (144 + -48X + 0 + -18ix + -24ix + 42ix + 6ixX + 8ixX + -14ixX + 6ix2 + -6ix2 + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 (144 + -48X + -18ix + -24ix + 42ix + 6ixX + 8ixX + -14ixX + 6ix2 + -6ix2 + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 Combine like terms: -18ix + -24ix = -42ix (144 + -48X + -42ix + 42ix + 6ixX + 8ixX + -14ixX + 6ix2 + -6ix2 + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 Combine like terms: -42ix + 42ix = 0 (144 + -48X + 0 + 6ixX + 8ixX + -14ixX + 6ix2 + -6ix2 + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 (144 + -48X + 6ixX + 8ixX + -14ixX + 6ix2 + -6ix2 + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 Combine like terms: 6ixX + 8ixX = 14ixX (144 + -48X + 14ixX + -14ixX + 6ix2 + -6ix2 + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 Combine like terms: 14ixX + -14ixX = 0 (144 + -48X + 0 + 6ix2 + -6ix2 + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 (144 + -48X + 6ix2 + -6ix2 + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 Combine like terms: 6ix2 + -6ix2 = 0 (144 + -48X + 0 + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 (144 + -48X + -2ix2X + 2ix2X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 Combine like terms: -2ix2X + 2ix2X = 0 (144 + -48X + 0 + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 (144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -36x + -84x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 Combine like terms: -36x + -84x = -120x (144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 12xX + 28xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 Combine like terms: 12xX + 28xX = 40xX (144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 21x2 + 12x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 Combine like terms: 21x2 + 12x2 = 33x2 (144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -7x2X + -4x2X + -3x3 + x3X) = 0 Combine like terms: -7x2X + -4x2X = -11x2X (144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X) = 0 Solving 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + -144 + x3X = 0 + -144 Reorder the terms: 144 + -144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 0 + -144 -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 0 + -144 Combine like terms: 0 + -144 = -144 -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = -144 Add '36i2' to each side of the equation. -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + 36i2 + x3X = -144 + 36i2 Reorder the terms: -48X + -36i2 + 36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = -144 + 36i2 Combine like terms: -36i2 + 36i2 = 0 -48X + 0 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = -144 + 36i2 -48X + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = -144 + 36i2 Add '-12i2x' to each side of the equation. -48X + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + -12i2x + x3X = -144 + 36i2 + -12i2x Reorder the terms: -48X + 12i2X + 12i2x + -12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = -144 + 36i2 + -12i2x Combine like terms: 12i2x + -12i2x = 0 -48X + 12i2X + 0 + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = -144 + 36i2 + -12i2x -48X + 12i2X + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = -144 + 36i2 + -12i2x Add '120x' to each side of the equation. -48X + 12i2X + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + 120x + x3X = -144 + 36i2 + -12i2x + 120x Reorder the terms: -48X + 12i2X + -4i2xX + -120x + 120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = -144 + 36i2 + -12i2x + 120x Combine like terms: -120x + 120x = 0 -48X + 12i2X + -4i2xX + 0 + 40xX + 33x2 + -11x2X + -3x3 + x3X = -144 + 36i2 + -12i2x + 120x -48X + 12i2X + -4i2xX + 40xX + 33x2 + -11x2X + -3x3 + x3X = -144 + 36i2 + -12i2x + 120x Add '-33x2' to each side of the equation. -48X + 12i2X + -4i2xX + 40xX + 33x2 + -11x2X + -3x3 + -33x2 + x3X = -144 + 36i2 + -12i2x + 120x + -33x2 Reorder the terms: -48X + 12i2X + -4i2xX + 40xX + 33x2 + -33x2 + -11x2X + -3x3 + x3X = -144 + 36i2 + -12i2x + 120x + -33x2 Combine like terms: 33x2 + -33x2 = 0 -48X + 12i2X + -4i2xX + 40xX + 0 + -11x2X + -3x3 + x3X = -144 + 36i2 + -12i2x + 120x + -33x2 -48X + 12i2X + -4i2xX + 40xX + -11x2X + -3x3 + x3X = -144 + 36i2 + -12i2x + 120x + -33x2 Add '3x3' to each side of the equation. -48X + 12i2X + -4i2xX + 40xX + -11x2X + -3x3 + 3x3 + x3X = -144 + 36i2 + -12i2x + 120x + -33x2 + 3x3 Combine like terms: -3x3 + 3x3 = 0 -48X + 12i2X + -4i2xX + 40xX + -11x2X + 0 + x3X = -144 + 36i2 + -12i2x + 120x + -33x2 + 3x3 -48X + 12i2X + -4i2xX + 40xX + -11x2X + x3X = -144 + 36i2 + -12i2x + 120x + -33x2 + 3x3 Reorder the terms: 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = -144 + 36i2 + -12i2x + 120x + -33x2 + 3x3 + 144 + -36i2 + 12i2x + -120x + 33x2 + -3x3 Reorder the terms: 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = -144 + 144 + 36i2 + -36i2 + -12i2x + 12i2x + 120x + -120x + -33x2 + 33x2 + 3x3 + -3x3 Combine like terms: -144 + 144 = 0 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 0 + 36i2 + -36i2 + -12i2x + 12i2x + 120x + -120x + -33x2 + 33x2 + 3x3 + -3x3 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 36i2 + -36i2 + -12i2x + 12i2x + 120x + -120x + -33x2 + 33x2 + 3x3 + -3x3 Combine like terms: 36i2 + -36i2 = 0 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 0 + -12i2x + 12i2x + 120x + -120x + -33x2 + 33x2 + 3x3 + -3x3 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = -12i2x + 12i2x + 120x + -120x + -33x2 + 33x2 + 3x3 + -3x3 Combine like terms: -12i2x + 12i2x = 0 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 0 + 120x + -120x + -33x2 + 33x2 + 3x3 + -3x3 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 120x + -120x + -33x2 + 33x2 + 3x3 + -3x3 Combine like terms: 120x + -120x = 0 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 0 + -33x2 + 33x2 + 3x3 + -3x3 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = -33x2 + 33x2 + 3x3 + -3x3 Combine like terms: -33x2 + 33x2 = 0 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 0 + 3x3 + -3x3 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 144 + -48X + -36i2 + 12i2X + 12i2x + -4i2xX + -120x + 40xX + 33x2 + -11x2X + -3x3 + x3X = 0 The solution to this equation could not be determined.
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