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Simplifying (x + -4 + -3i)(x + -4 + 3i)(x + -2) = y Reorder the terms: (-4 + -3i + x)(x + -4 + 3i)(x + -2) = y Reorder the terms: (-4 + -3i + x)(-4 + 3i + x)(x + -2) = y Reorder the terms: (-4 + -3i + x)(-4 + 3i + x)(-2 + x) = y Multiply (-4 + -3i + x) * (-4 + 3i + x) (-4(-4 + 3i + x) + -3i * (-4 + 3i + x) + x(-4 + 3i + x))(-2 + x) = y ((-4 * -4 + 3i * -4 + x * -4) + -3i * (-4 + 3i + x) + x(-4 + 3i + x))(-2 + x) = y ((16 + -12i + -4x) + -3i * (-4 + 3i + x) + x(-4 + 3i + x))(-2 + x) = y (16 + -12i + -4x + (-4 * -3i + 3i * -3i + x * -3i) + x(-4 + 3i + x))(-2 + x) = y Reorder the terms: (16 + -12i + -4x + (12i + -3ix + -9i2) + x(-4 + 3i + x))(-2 + x) = y (16 + -12i + -4x + (12i + -3ix + -9i2) + x(-4 + 3i + x))(-2 + x) = y (16 + -12i + -4x + 12i + -3ix + -9i2 + (-4 * x + 3i * x + x * x))(-2 + x) = y Reorder the terms: (16 + -12i + -4x + 12i + -3ix + -9i2 + (3ix + -4x + x2))(-2 + x) = y (16 + -12i + -4x + 12i + -3ix + -9i2 + (3ix + -4x + x2))(-2 + x) = y Reorder the terms: (16 + -12i + 12i + -3ix + 3ix + -9i2 + -4x + -4x + x2)(-2 + x) = y Combine like terms: -12i + 12i = 0 (16 + 0 + -3ix + 3ix + -9i2 + -4x + -4x + x2)(-2 + x) = y (16 + -3ix + 3ix + -9i2 + -4x + -4x + x2)(-2 + x) = y Combine like terms: -3ix + 3ix = 0 (16 + 0 + -9i2 + -4x + -4x + x2)(-2 + x) = y (16 + -9i2 + -4x + -4x + x2)(-2 + x) = y Combine like terms: -4x + -4x = -8x (16 + -9i2 + -8x + x2)(-2 + x) = y Multiply (16 + -9i2 + -8x + x2) * (-2 + x) (16(-2 + x) + -9i2 * (-2 + x) + -8x * (-2 + x) + x2(-2 + x)) = y ((-2 * 16 + x * 16) + -9i2 * (-2 + x) + -8x * (-2 + x) + x2(-2 + x)) = y ((-32 + 16x) + -9i2 * (-2 + x) + -8x * (-2 + x) + x2(-2 + x)) = y (-32 + 16x + (-2 * -9i2 + x * -9i2) + -8x * (-2 + x) + x2(-2 + x)) = y (-32 + 16x + (18i2 + -9i2x) + -8x * (-2 + x) + x2(-2 + x)) = y (-32 + 16x + 18i2 + -9i2x + (-2 * -8x + x * -8x) + x2(-2 + x)) = y (-32 + 16x + 18i2 + -9i2x + (16x + -8x2) + x2(-2 + x)) = y (-32 + 16x + 18i2 + -9i2x + 16x + -8x2 + (-2 * x2 + x * x2)) = y (-32 + 16x + 18i2 + -9i2x + 16x + -8x2 + (-2x2 + x3)) = y Reorder the terms: (-32 + 18i2 + -9i2x + 16x + 16x + -8x2 + -2x2 + x3) = y Combine like terms: 16x + 16x = 32x (-32 + 18i2 + -9i2x + 32x + -8x2 + -2x2 + x3) = y Combine like terms: -8x2 + -2x2 = -10x2 (-32 + 18i2 + -9i2x + 32x + -10x2 + x3) = y Solving -32 + 18i2 + -9i2x + 32x + -10x2 + x3 = y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 18i2 + -9i2x + 32x + -10x2 + 32 + x3 = 32 + y Reorder the terms: -32 + 32 + 18i2 + -9i2x + 32x + -10x2 + x3 = 32 + y Combine like terms: -32 + 32 = 0 0 + 18i2 + -9i2x + 32x + -10x2 + x3 = 32 + y 18i2 + -9i2x + 32x + -10x2 + x3 = 32 + y Add '-32x' to each side of the equation. 18i2 + -9i2x + 32x + -10x2 + -32x + x3 = 32 + -32x + y Reorder the terms: 18i2 + -9i2x + 32x + -32x + -10x2 + x3 = 32 + -32x + y Combine like terms: 32x + -32x = 0 18i2 + -9i2x + 0 + -10x2 + x3 = 32 + -32x + y 18i2 + -9i2x + -10x2 + x3 = 32 + -32x + y Add '10x2' to each side of the equation. 18i2 + -9i2x + -10x2 + 10x2 + x3 = 32 + -32x + 10x2 + y Combine like terms: -10x2 + 10x2 = 0 18i2 + -9i2x + 0 + x3 = 32 + -32x + 10x2 + y 18i2 + -9i2x + x3 = 32 + -32x + 10x2 + y Add '-1x3' to each side of the equation. 18i2 + -9i2x + x3 + -1x3 = 32 + -32x + 10x2 + -1x3 + y Combine like terms: x3 + -1x3 = 0 18i2 + -9i2x + 0 = 32 + -32x + 10x2 + -1x3 + y 18i2 + -9i2x = 32 + -32x + 10x2 + -1x3 + y Reorder the terms: -32 + 18i2 + -9i2x + 32x + -10x2 + x3 + -1y = 32 + -32x + 10x2 + -1x3 + y + -32 + 32x + -10x2 + x3 + -1y Reorder the terms: -32 + 18i2 + -9i2x + 32x + -10x2 + x3 + -1y = 32 + -32 + -32x + 32x + 10x2 + -10x2 + -1x3 + x3 + y + -1y Combine like terms: 32 + -32 = 0 -32 + 18i2 + -9i2x + 32x + -10x2 + x3 + -1y = 0 + -32x + 32x + 10x2 + -10x2 + -1x3 + x3 + y + -1y -32 + 18i2 + -9i2x + 32x + -10x2 + x3 + -1y = -32x + 32x + 10x2 + -10x2 + -1x3 + x3 + y + -1y Combine like terms: -32x + 32x = 0 -32 + 18i2 + -9i2x + 32x + -10x2 + x3 + -1y = 0 + 10x2 + -10x2 + -1x3 + x3 + y + -1y -32 + 18i2 + -9i2x + 32x + -10x2 + x3 + -1y = 10x2 + -10x2 + -1x3 + x3 + y + -1y Combine like terms: 10x2 + -10x2 = 0 -32 + 18i2 + -9i2x + 32x + -10x2 + x3 + -1y = 0 + -1x3 + x3 + y + -1y -32 + 18i2 + -9i2x + 32x + -10x2 + x3 + -1y = -1x3 + x3 + y + -1y Combine like terms: -1x3 + x3 = 0 -32 + 18i2 + -9i2x + 32x + -10x2 + x3 + -1y = 0 + y + -1y -32 + 18i2 + -9i2x + 32x + -10x2 + x3 + -1y = y + -1y Combine like terms: y + -1y = 0 -32 + 18i2 + -9i2x + 32x + -10x2 + x3 + -1y = 0 The solution to this equation could not be determined.
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