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Simplifying y = (x + -5)(x + -2i)(x + 2i) Reorder the terms: y = (-5 + x)(x + -2i)(x + 2i) Reorder the terms: y = (-5 + x)(-2i + x)(x + 2i) Reorder the terms: y = (-5 + x)(-2i + x)(2i + x) Multiply (-5 + x) * (-2i + x) y = (-5(-2i + x) + x(-2i + x))(2i + x) y = ((-2i * -5 + x * -5) + x(-2i + x))(2i + x) y = ((10i + -5x) + x(-2i + x))(2i + x) y = (10i + -5x + (-2i * x + x * x))(2i + x) y = (10i + -5x + (-2ix + x2))(2i + x) Reorder the terms: y = (10i + -2ix + -5x + x2)(2i + x) y = (10i + -2ix + -5x + x2)(2i + x) Multiply (10i + -2ix + -5x + x2) * (2i + x) y = (10i * (2i + x) + -2ix * (2i + x) + -5x * (2i + x) + x2(2i + x)) y = ((2i * 10i + x * 10i) + -2ix * (2i + x) + -5x * (2i + x) + x2(2i + x)) Reorder the terms: y = ((10ix + 20i2) + -2ix * (2i + x) + -5x * (2i + x) + x2(2i + x)) y = ((10ix + 20i2) + -2ix * (2i + x) + -5x * (2i + x) + x2(2i + x)) y = (10ix + 20i2 + (2i * -2ix + x * -2ix) + -5x * (2i + x) + x2(2i + x)) Reorder the terms: y = (10ix + 20i2 + (-2ix2 + -4i2x) + -5x * (2i + x) + x2(2i + x)) y = (10ix + 20i2 + (-2ix2 + -4i2x) + -5x * (2i + x) + x2(2i + x)) y = (10ix + 20i2 + -2ix2 + -4i2x + (2i * -5x + x * -5x) + x2(2i + x)) y = (10ix + 20i2 + -2ix2 + -4i2x + (-10ix + -5x2) + x2(2i + x)) y = (10ix + 20i2 + -2ix2 + -4i2x + -10ix + -5x2 + (2i * x2 + x * x2)) y = (10ix + 20i2 + -2ix2 + -4i2x + -10ix + -5x2 + (2ix2 + x3)) Reorder the terms: y = (10ix + -10ix + -2ix2 + 2ix2 + 20i2 + -4i2x + -5x2 + x3) Combine like terms: 10ix + -10ix = 0 y = (0 + -2ix2 + 2ix2 + 20i2 + -4i2x + -5x2 + x3) y = (-2ix2 + 2ix2 + 20i2 + -4i2x + -5x2 + x3) Combine like terms: -2ix2 + 2ix2 = 0 y = (0 + 20i2 + -4i2x + -5x2 + x3) y = (20i2 + -4i2x + -5x2 + x3) Solving y = 20i2 + -4i2x + -5x2 + x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 20i2 + -4i2x + -5x2 + x3
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