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Simplifying (x + 5i)(x + -5i)(x + -1) = y Reorder the terms: (5i + x)(x + -5i)(x + -1) = y Reorder the terms: (5i + x)(-5i + x)(x + -1) = y Reorder the terms: (5i + x)(-5i + x)(-1 + x) = y Multiply (5i + x) * (-5i + x) (5i * (-5i + x) + x(-5i + x))(-1 + x) = y ((-5i * 5i + x * 5i) + x(-5i + x))(-1 + x) = y Reorder the terms: ((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) = y Reorder the terms: (5ix + -5ix + -25i2 + x2)(-1 + x) = y Combine like terms: 5ix + -5ix = 0 (0 + -25i2 + x2)(-1 + x) = y (-25i2 + x2)(-1 + x) = y Multiply (-25i2 + x2) * (-1 + x) (-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) = y Solving 25i2 + -25i2x + -1x2 + x3 = y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'x2' to each side of the equation. 25i2 + -25i2x + -1x2 + x2 + x3 = x2 + y Combine like terms: -1x2 + x2 = 0 25i2 + -25i2x + 0 + x3 = x2 + y 25i2 + -25i2x + x3 = x2 + y Add '-1x3' to each side of the equation. 25i2 + -25i2x + x3 + -1x3 = x2 + -1x3 + y Combine like terms: x3 + -1x3 = 0 25i2 + -25i2x + 0 = x2 + -1x3 + y 25i2 + -25i2x = x2 + -1x3 + y Reorder the terms: 25i2 + -25i2x + -1x2 + x3 + -1y = x2 + -1x2 + -1x3 + x3 + y + -1y Combine like terms: x2 + -1x2 = 0 25i2 + -25i2x + -1x2 + x3 + -1y = 0 + -1x3 + x3 + y + -1y 25i2 + -25i2x + -1x2 + x3 + -1y = -1x3 + x3 + y + -1y Combine like terms: -1x3 + x3 = 0 25i2 + -25i2x + -1x2 + x3 + -1y = 0 + y + -1y 25i2 + -25i2x + -1x2 + x3 + -1y = y + -1y Combine like terms: y + -1y = 0 25i2 + -25i2x + -1x2 + x3 + -1y = 0 The solution to this equation could not be determined.
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