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Simplifying y = (x + -3 + -9i)(x + -3 + 9i) Reorder the terms: y = (-3 + -9i + x)(x + -3 + 9i) Reorder the terms: y = (-3 + -9i + x)(-3 + 9i + x) Multiply (-3 + -9i + x) * (-3 + 9i + x) y = (-3(-3 + 9i + x) + -9i * (-3 + 9i + x) + x(-3 + 9i + x)) y = ((-3 * -3 + 9i * -3 + x * -3) + -9i * (-3 + 9i + x) + x(-3 + 9i + x)) y = ((9 + -27i + -3x) + -9i * (-3 + 9i + x) + x(-3 + 9i + x)) y = (9 + -27i + -3x + (-3 * -9i + 9i * -9i + x * -9i) + x(-3 + 9i + x)) Reorder the terms: y = (9 + -27i + -3x + (27i + -9ix + -81i2) + x(-3 + 9i + x)) y = (9 + -27i + -3x + (27i + -9ix + -81i2) + x(-3 + 9i + x)) y = (9 + -27i + -3x + 27i + -9ix + -81i2 + (-3 * x + 9i * x + x * x)) Reorder the terms: y = (9 + -27i + -3x + 27i + -9ix + -81i2 + (9ix + -3x + x2)) y = (9 + -27i + -3x + 27i + -9ix + -81i2 + (9ix + -3x + x2)) Reorder the terms: y = (9 + -27i + 27i + -9ix + 9ix + -81i2 + -3x + -3x + x2) Combine like terms: -27i + 27i = 0 y = (9 + 0 + -9ix + 9ix + -81i2 + -3x + -3x + x2) y = (9 + -9ix + 9ix + -81i2 + -3x + -3x + x2) Combine like terms: -9ix + 9ix = 0 y = (9 + 0 + -81i2 + -3x + -3x + x2) y = (9 + -81i2 + -3x + -3x + x2) Combine like terms: -3x + -3x = -6x y = (9 + -81i2 + -6x + x2) Solving y = 9 + -81i2 + -6x + x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 9 + -81i2 + -6x + x2
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