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Simplifying y = ([x + -1(-2 + -5i)][x + -1(-2 + 5i)]) y = ([x + (-2 * -1 + -5i * -1)][x + -1(-2 + 5i)]) y = ([x + (2 + 5i)][x + -1(-2 + 5i)]) Reorder the terms: y = ([2 + 5i + x][x + -1(-2 + 5i)]) y = ([2 + 5i + x][x + (-2 * -1 + 5i * -1)]) y = ([2 + 5i + x][x + (2 + -5i)]) Reorder the terms: y = ([2 + 5i + x][2 + -5i + x]) Multiply [2 + 5i + x] * [2 + -5i + x] y = ([2[2 + -5i + x] + 5i * [2 + -5i + x] + x[2 + -5i + x]]) y = ([[2 * 2 + -5i * 2 + x * 2] + 5i * [2 + -5i + x] + x[2 + -5i + x]]) y = ([[4 + -10i + 2x] + 5i * [2 + -5i + x] + x[2 + -5i + x]]) y = ([4 + -10i + 2x + [2 * 5i + -5i * 5i + x * 5i] + x[2 + -5i + x]]) Reorder the terms: y = ([4 + -10i + 2x + [10i + 5ix + -25i2] + x[2 + -5i + x]]) y = ([4 + -10i + 2x + [10i + 5ix + -25i2] + x[2 + -5i + x]]) y = ([4 + -10i + 2x + 10i + 5ix + -25i2 + [2 * x + -5i * x + x * x]]) Reorder the terms: y = ([4 + -10i + 2x + 10i + 5ix + -25i2 + [-5ix + 2x + x2]]) y = ([4 + -10i + 2x + 10i + 5ix + -25i2 + [-5ix + 2x + x2]]) Reorder the terms: y = ([4 + -10i + 10i + 5ix + -5ix + -25i2 + 2x + 2x + x2]) Combine like terms: -10i + 10i = 0 y = ([4 + 0 + 5ix + -5ix + -25i2 + 2x + 2x + x2]) y = ([4 + 5ix + -5ix + -25i2 + 2x + 2x + x2]) Combine like terms: 5ix + -5ix = 0 y = ([4 + 0 + -25i2 + 2x + 2x + x2]) y = ([4 + -25i2 + 2x + 2x + x2]) Combine like terms: 2x + 2x = 4x y = ([4 + -25i2 + 4x + x2]) y = (4 + -25i2 + 4x + x2) Remove parenthesis around (4 + -25i2 + 4x + x2) y = 4 + -25i2 + 4x + x2 Solving y = 4 + -25i2 + 4x + x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 4 + -25i2 + 4x + x2
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