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Simplifying y = (x + -6 + -5i)(x + -6 + 5i) Reorder the terms: y = (-6 + -5i + x)(x + -6 + 5i) Reorder the terms: y = (-6 + -5i + x)(-6 + 5i + x) Multiply (-6 + -5i + x) * (-6 + 5i + x) y = (-6(-6 + 5i + x) + -5i * (-6 + 5i + x) + x(-6 + 5i + x)) y = ((-6 * -6 + 5i * -6 + x * -6) + -5i * (-6 + 5i + x) + x(-6 + 5i + x)) y = ((36 + -30i + -6x) + -5i * (-6 + 5i + x) + x(-6 + 5i + x)) y = (36 + -30i + -6x + (-6 * -5i + 5i * -5i + x * -5i) + x(-6 + 5i + x)) Reorder the terms: y = (36 + -30i + -6x + (30i + -5ix + -25i2) + x(-6 + 5i + x)) y = (36 + -30i + -6x + (30i + -5ix + -25i2) + x(-6 + 5i + x)) y = (36 + -30i + -6x + 30i + -5ix + -25i2 + (-6 * x + 5i * x + x * x)) Reorder the terms: y = (36 + -30i + -6x + 30i + -5ix + -25i2 + (5ix + -6x + x2)) y = (36 + -30i + -6x + 30i + -5ix + -25i2 + (5ix + -6x + x2)) Reorder the terms: y = (36 + -30i + 30i + -5ix + 5ix + -25i2 + -6x + -6x + x2) Combine like terms: -30i + 30i = 0 y = (36 + 0 + -5ix + 5ix + -25i2 + -6x + -6x + x2) y = (36 + -5ix + 5ix + -25i2 + -6x + -6x + x2) Combine like terms: -5ix + 5ix = 0 y = (36 + 0 + -25i2 + -6x + -6x + x2) y = (36 + -25i2 + -6x + -6x + x2) Combine like terms: -6x + -6x = -12x y = (36 + -25i2 + -12x + x2) Solving y = 36 + -25i2 + -12x + x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 36 + -25i2 + -12x + x2
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