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Simplifying y = (x + -6 + 3i)(x + -6 + -3i) Reorder the terms: y = (-6 + 3i + x)(x + -6 + -3i) Reorder the terms: y = (-6 + 3i + x)(-6 + -3i + x) Multiply (-6 + 3i + x) * (-6 + -3i + x) y = (-6(-6 + -3i + x) + 3i * (-6 + -3i + x) + x(-6 + -3i + x)) y = ((-6 * -6 + -3i * -6 + x * -6) + 3i * (-6 + -3i + x) + x(-6 + -3i + x)) y = ((36 + 18i + -6x) + 3i * (-6 + -3i + x) + x(-6 + -3i + x)) y = (36 + 18i + -6x + (-6 * 3i + -3i * 3i + x * 3i) + x(-6 + -3i + x)) Reorder the terms: y = (36 + 18i + -6x + (-18i + 3ix + -9i2) + x(-6 + -3i + x)) y = (36 + 18i + -6x + (-18i + 3ix + -9i2) + x(-6 + -3i + x)) y = (36 + 18i + -6x + -18i + 3ix + -9i2 + (-6 * x + -3i * x + x * x)) Reorder the terms: y = (36 + 18i + -6x + -18i + 3ix + -9i2 + (-3ix + -6x + x2)) y = (36 + 18i + -6x + -18i + 3ix + -9i2 + (-3ix + -6x + x2)) Reorder the terms: y = (36 + 18i + -18i + 3ix + -3ix + -9i2 + -6x + -6x + x2) Combine like terms: 18i + -18i = 0 y = (36 + 0 + 3ix + -3ix + -9i2 + -6x + -6x + x2) y = (36 + 3ix + -3ix + -9i2 + -6x + -6x + x2) Combine like terms: 3ix + -3ix = 0 y = (36 + 0 + -9i2 + -6x + -6x + x2) y = (36 + -9i2 + -6x + -6x + x2) Combine like terms: -6x + -6x = -12x y = (36 + -9i2 + -12x + x2) Solving y = 36 + -9i2 + -12x + x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 36 + -9i2 + -12x + x2
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