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Simplifying y = (x + -3 + -4i)(x + -3 + 4i) Reorder the terms: y = (-3 + -4i + x)(x + -3 + 4i) Reorder the terms: y = (-3 + -4i + x)(-3 + 4i + x) Multiply (-3 + -4i + x) * (-3 + 4i + x) y = (-3(-3 + 4i + x) + -4i * (-3 + 4i + x) + x(-3 + 4i + x)) y = ((-3 * -3 + 4i * -3 + x * -3) + -4i * (-3 + 4i + x) + x(-3 + 4i + x)) y = ((9 + -12i + -3x) + -4i * (-3 + 4i + x) + x(-3 + 4i + x)) y = (9 + -12i + -3x + (-3 * -4i + 4i * -4i + x * -4i) + x(-3 + 4i + x)) Reorder the terms: y = (9 + -12i + -3x + (12i + -4ix + -16i2) + x(-3 + 4i + x)) y = (9 + -12i + -3x + (12i + -4ix + -16i2) + x(-3 + 4i + x)) y = (9 + -12i + -3x + 12i + -4ix + -16i2 + (-3 * x + 4i * x + x * x)) Reorder the terms: y = (9 + -12i + -3x + 12i + -4ix + -16i2 + (4ix + -3x + x2)) y = (9 + -12i + -3x + 12i + -4ix + -16i2 + (4ix + -3x + x2)) Reorder the terms: y = (9 + -12i + 12i + -4ix + 4ix + -16i2 + -3x + -3x + x2) Combine like terms: -12i + 12i = 0 y = (9 + 0 + -4ix + 4ix + -16i2 + -3x + -3x + x2) y = (9 + -4ix + 4ix + -16i2 + -3x + -3x + x2) Combine like terms: -4ix + 4ix = 0 y = (9 + 0 + -16i2 + -3x + -3x + x2) y = (9 + -16i2 + -3x + -3x + x2) Combine like terms: -3x + -3x = -6x y = (9 + -16i2 + -6x + x2) Solving y = 9 + -16i2 + -6x + x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 9 + -16i2 + -6x + x2
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