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Simplifying y = (x + 5i)(x + -5i)(x + -1) Reorder the terms: y = (5i + x)(x + -5i)(x + -1) Reorder the terms: y = (5i + x)(-5i + x)(x + -1) Reorder the terms: y = (5i + x)(-5i + x)(-1 + x) Multiply (5i + x) * (-5i + x) y = (5i * (-5i + x) + x(-5i + x))(-1 + x) y = ((-5i * 5i + x * 5i) + x(-5i + x))(-1 + x) Reorder the terms: y = ((5ix + -25i2) + x(-5i + x))(-1 + x) y = ((5ix + -25i2) + x(-5i + x))(-1 + x) y = (5ix + -25i2 + (-5i * x + x * x))(-1 + x) y = (5ix + -25i2 + (-5ix + x2))(-1 + x) Reorder the terms: y = (5ix + -5ix + -25i2 + x2)(-1 + x) Combine like terms: 5ix + -5ix = 0 y = (0 + -25i2 + x2)(-1 + x) y = (-25i2 + x2)(-1 + x) Multiply (-25i2 + x2) * (-1 + x) y = (-25i2 * (-1 + x) + x2(-1 + x)) y = ((-1 * -25i2 + x * -25i2) + x2(-1 + x)) y = ((25i2 + -25i2x) + x2(-1 + x)) y = (25i2 + -25i2x + (-1 * x2 + x * x2)) y = (25i2 + -25i2x + (-1x2 + x3)) y = (25i2 + -25i2x + -1x2 + x3) Solving y = 25i2 + -25i2x + -1x2 + x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 25i2 + -25i2x + -1x2 + x3
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