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Simplifying y = (x + -4 + -5i)(x + -4 + 5i) Reorder the terms: y = (-4 + -5i + x)(x + -4 + 5i) Reorder the terms: y = (-4 + -5i + x)(-4 + 5i + x) Multiply (-4 + -5i + x) * (-4 + 5i + x) y = (-4(-4 + 5i + x) + -5i * (-4 + 5i + x) + x(-4 + 5i + x)) y = ((-4 * -4 + 5i * -4 + x * -4) + -5i * (-4 + 5i + x) + x(-4 + 5i + x)) y = ((16 + -20i + -4x) + -5i * (-4 + 5i + x) + x(-4 + 5i + x)) y = (16 + -20i + -4x + (-4 * -5i + 5i * -5i + x * -5i) + x(-4 + 5i + x)) Reorder the terms: y = (16 + -20i + -4x + (20i + -5ix + -25i2) + x(-4 + 5i + x)) y = (16 + -20i + -4x + (20i + -5ix + -25i2) + x(-4 + 5i + x)) y = (16 + -20i + -4x + 20i + -5ix + -25i2 + (-4 * x + 5i * x + x * x)) Reorder the terms: y = (16 + -20i + -4x + 20i + -5ix + -25i2 + (5ix + -4x + x2)) y = (16 + -20i + -4x + 20i + -5ix + -25i2 + (5ix + -4x + x2)) Reorder the terms: y = (16 + -20i + 20i + -5ix + 5ix + -25i2 + -4x + -4x + x2) Combine like terms: -20i + 20i = 0 y = (16 + 0 + -5ix + 5ix + -25i2 + -4x + -4x + x2) y = (16 + -5ix + 5ix + -25i2 + -4x + -4x + x2) Combine like terms: -5ix + 5ix = 0 y = (16 + 0 + -25i2 + -4x + -4x + x2) y = (16 + -25i2 + -4x + -4x + x2) Combine like terms: -4x + -4x = -8x y = (16 + -25i2 + -8x + x2) Solving y = 16 + -25i2 + -8x + x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 16 + -25i2 + -8x + x2
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