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Simplifying y = (x + -1)(x + 2)(x + -4 + 3i) Reorder the terms: y = (-1 + x)(x + 2)(x + -4 + 3i) Reorder the terms: y = (-1 + x)(2 + x)(x + -4 + 3i) Reorder the terms: y = (-1 + x)(2 + x)(-4 + 3i + x) Multiply (-1 + x) * (2 + x) y = (-1(2 + x) + x(2 + x))(-4 + 3i + x) y = ((2 * -1 + x * -1) + x(2 + x))(-4 + 3i + x) y = ((-2 + -1x) + x(2 + x))(-4 + 3i + x) y = (-2 + -1x + (2 * x + x * x))(-4 + 3i + x) y = (-2 + -1x + (2x + x2))(-4 + 3i + x) Combine like terms: -1x + 2x = 1x y = (-2 + 1x + x2)(-4 + 3i + x) Multiply (-2 + 1x + x2) * (-4 + 3i + x) y = (-2(-4 + 3i + x) + 1x * (-4 + 3i + x) + x2(-4 + 3i + x)) y = ((-4 * -2 + 3i * -2 + x * -2) + 1x * (-4 + 3i + x) + x2(-4 + 3i + x)) y = ((8 + -6i + -2x) + 1x * (-4 + 3i + x) + x2(-4 + 3i + x)) y = (8 + -6i + -2x + (-4 * 1x + 3i * 1x + x * 1x) + x2(-4 + 3i + x)) Reorder the terms: y = (8 + -6i + -2x + (3ix + -4x + 1x2) + x2(-4 + 3i + x)) y = (8 + -6i + -2x + (3ix + -4x + 1x2) + x2(-4 + 3i + x)) y = (8 + -6i + -2x + 3ix + -4x + 1x2 + (-4 * x2 + 3i * x2 + x * x2)) Reorder the terms: y = (8 + -6i + -2x + 3ix + -4x + 1x2 + (3ix2 + -4x2 + x3)) y = (8 + -6i + -2x + 3ix + -4x + 1x2 + (3ix2 + -4x2 + x3)) Reorder the terms: y = (8 + -6i + 3ix + 3ix2 + -2x + -4x + 1x2 + -4x2 + x3) Combine like terms: -2x + -4x = -6x y = (8 + -6i + 3ix + 3ix2 + -6x + 1x2 + -4x2 + x3) Combine like terms: 1x2 + -4x2 = -3x2 y = (8 + -6i + 3ix + 3ix2 + -6x + -3x2 + x3) Solving y = 8 + -6i + 3ix + 3ix2 + -6x + -3x2 + x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 8 + -6i + 3ix + 3ix2 + -6x + -3x2 + x3
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