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Simplifying (x + -1)(x + 3 + 6i)(x + 3 + -6i) = y Reorder the terms: (-1 + x)(x + 3 + 6i)(x + 3 + -6i) = y Reorder the terms: (-1 + x)(3 + 6i + x)(x + 3 + -6i) = y Reorder the terms: (-1 + x)(3 + 6i + x)(3 + -6i + x) = y Multiply (-1 + x) * (3 + 6i + x) (-1(3 + 6i + x) + x(3 + 6i + x))(3 + -6i + x) = y ((3 * -1 + 6i * -1 + x * -1) + x(3 + 6i + x))(3 + -6i + x) = y ((-3 + -6i + -1x) + x(3 + 6i + x))(3 + -6i + x) = y (-3 + -6i + -1x + (3 * x + 6i * x + x * x))(3 + -6i + x) = y Reorder the terms: (-3 + -6i + -1x + (6ix + 3x + x2))(3 + -6i + x) = y (-3 + -6i + -1x + (6ix + 3x + x2))(3 + -6i + x) = y Reorder the terms: (-3 + -6i + 6ix + -1x + 3x + x2)(3 + -6i + x) = y Combine like terms: -1x + 3x = 2x (-3 + -6i + 6ix + 2x + x2)(3 + -6i + x) = y Multiply (-3 + -6i + 6ix + 2x + x2) * (3 + -6i + x) (-3(3 + -6i + x) + -6i * (3 + -6i + x) + 6ix * (3 + -6i + x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y ((3 * -3 + -6i * -3 + x * -3) + -6i * (3 + -6i + x) + 6ix * (3 + -6i + x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y ((-9 + 18i + -3x) + -6i * (3 + -6i + x) + 6ix * (3 + -6i + x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y (-9 + 18i + -3x + (3 * -6i + -6i * -6i + x * -6i) + 6ix * (3 + -6i + x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y Reorder the terms: (-9 + 18i + -3x + (-18i + -6ix + 36i2) + 6ix * (3 + -6i + x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y (-9 + 18i + -3x + (-18i + -6ix + 36i2) + 6ix * (3 + -6i + x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y (-9 + 18i + -3x + -18i + -6ix + 36i2 + (3 * 6ix + -6i * 6ix + x * 6ix) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y Reorder the terms: (-9 + 18i + -3x + -18i + -6ix + 36i2 + (18ix + 6ix2 + -36i2x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y (-9 + 18i + -3x + -18i + -6ix + 36i2 + (18ix + 6ix2 + -36i2x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y (-9 + 18i + -3x + -18i + -6ix + 36i2 + 18ix + 6ix2 + -36i2x + (3 * 2x + -6i * 2x + x * 2x) + x2(3 + -6i + x)) = y Reorder the terms: (-9 + 18i + -3x + -18i + -6ix + 36i2 + 18ix + 6ix2 + -36i2x + (-12ix + 6x + 2x2) + x2(3 + -6i + x)) = y (-9 + 18i + -3x + -18i + -6ix + 36i2 + 18ix + 6ix2 + -36i2x + (-12ix + 6x + 2x2) + x2(3 + -6i + x)) = y (-9 + 18i + -3x + -18i + -6ix + 36i2 + 18ix + 6ix2 + -36i2x + -12ix + 6x + 2x2 + (3 * x2 + -6i * x2 + x * x2)) = y Reorder the terms: (-9 + 18i + -3x + -18i + -6ix + 36i2 + 18ix + 6ix2 + -36i2x + -12ix + 6x + 2x2 + (-6ix2 + 3x2 + x3)) = y (-9 + 18i + -3x + -18i + -6ix + 36i2 + 18ix + 6ix2 + -36i2x + -12ix + 6x + 2x2 + (-6ix2 + 3x2 + x3)) = y Reorder the terms: (-9 + 18i + -18i + -6ix + 18ix + -12ix + 6ix2 + -6ix2 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y Combine like terms: 18i + -18i = 0 (-9 + 0 + -6ix + 18ix + -12ix + 6ix2 + -6ix2 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y (-9 + -6ix + 18ix + -12ix + 6ix2 + -6ix2 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y Combine like terms: -6ix + 18ix = 12ix (-9 + 12ix + -12ix + 6ix2 + -6ix2 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y Combine like terms: 12ix + -12ix = 0 (-9 + 0 + 6ix2 + -6ix2 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y (-9 + 6ix2 + -6ix2 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y Combine like terms: 6ix2 + -6ix2 = 0 (-9 + 0 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y (-9 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y Combine like terms: -3x + 6x = 3x (-9 + 36i2 + -36i2x + 3x + 2x2 + 3x2 + x3) = y Combine like terms: 2x2 + 3x2 = 5x2 (-9 + 36i2 + -36i2x + 3x + 5x2 + x3) = y Solving -9 + 36i2 + -36i2x + 3x + 5x2 + x3 = y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 36i2 + -36i2x + 3x + 5x2 + 9 + x3 = 9 + y Reorder the terms: -9 + 9 + 36i2 + -36i2x + 3x + 5x2 + x3 = 9 + y Combine like terms: -9 + 9 = 0 0 + 36i2 + -36i2x + 3x + 5x2 + x3 = 9 + y 36i2 + -36i2x + 3x + 5x2 + x3 = 9 + y Add '-3x' to each side of the equation. 36i2 + -36i2x + 3x + 5x2 + -3x + x3 = 9 + -3x + y Reorder the terms: 36i2 + -36i2x + 3x + -3x + 5x2 + x3 = 9 + -3x + y Combine like terms: 3x + -3x = 0 36i2 + -36i2x + 0 + 5x2 + x3 = 9 + -3x + y 36i2 + -36i2x + 5x2 + x3 = 9 + -3x + y Add '-5x2' to each side of the equation. 36i2 + -36i2x + 5x2 + -5x2 + x3 = 9 + -3x + -5x2 + y Combine like terms: 5x2 + -5x2 = 0 36i2 + -36i2x + 0 + x3 = 9 + -3x + -5x2 + y 36i2 + -36i2x + x3 = 9 + -3x + -5x2 + y Add '-1x3' to each side of the equation. 36i2 + -36i2x + x3 + -1x3 = 9 + -3x + -5x2 + -1x3 + y Combine like terms: x3 + -1x3 = 0 36i2 + -36i2x + 0 = 9 + -3x + -5x2 + -1x3 + y 36i2 + -36i2x = 9 + -3x + -5x2 + -1x3 + y Reorder the terms: -9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 9 + -3x + -5x2 + -1x3 + y + -9 + 3x + 5x2 + x3 + -1y Reorder the terms: -9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 9 + -9 + -3x + 3x + -5x2 + 5x2 + -1x3 + x3 + y + -1y Combine like terms: 9 + -9 = 0 -9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 0 + -3x + 3x + -5x2 + 5x2 + -1x3 + x3 + y + -1y -9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = -3x + 3x + -5x2 + 5x2 + -1x3 + x3 + y + -1y Combine like terms: -3x + 3x = 0 -9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 0 + -5x2 + 5x2 + -1x3 + x3 + y + -1y -9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = -5x2 + 5x2 + -1x3 + x3 + y + -1y Combine like terms: -5x2 + 5x2 = 0 -9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 0 + -1x3 + x3 + y + -1y -9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = -1x3 + x3 + y + -1y Combine like terms: -1x3 + x3 = 0 -9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 0 + y + -1y -9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = y + -1y Combine like terms: y + -1y = 0 -9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 0 The solution to this equation could not be determined.
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