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Simplifying y = [x + -1(1 + 2i)][x + -1(1 + -2i)](x + -3) y = [x + (1 * -1 + 2i * -1)][x + -1(1 + -2i)](x + -3) y = [x + (-1 + -2i)][x + -1(1 + -2i)](x + -3) Reorder the terms: y = [-1 + -2i + x][x + -1(1 + -2i)](x + -3) y = [-1 + -2i + x][x + (1 * -1 + -2i * -1)](x + -3) y = [-1 + -2i + x][x + (-1 + 2i)](x + -3) Reorder the terms: y = [-1 + -2i + x][-1 + 2i + x](x + -3) Reorder the terms: y = [-1 + -2i + x][-1 + 2i + x](-3 + x) Multiply [-1 + -2i + x] * [-1 + 2i + x] y = [-1[-1 + 2i + x] + -2i * [-1 + 2i + x] + x[-1 + 2i + x]](-3 + x) y = [[-1 * -1 + 2i * -1 + x * -1] + -2i * [-1 + 2i + x] + x[-1 + 2i + x]](-3 + x) y = [[1 + -2i + -1x] + -2i * [-1 + 2i + x] + x[-1 + 2i + x]](-3 + x) y = [1 + -2i + -1x + [-1 * -2i + 2i * -2i + x * -2i] + x[-1 + 2i + x]](-3 + x) Reorder the terms: y = [1 + -2i + -1x + [2i + -2ix + -4i2] + x[-1 + 2i + x]](-3 + x) y = [1 + -2i + -1x + [2i + -2ix + -4i2] + x[-1 + 2i + x]](-3 + x) y = [1 + -2i + -1x + 2i + -2ix + -4i2 + [-1 * x + 2i * x + x * x]](-3 + x) Reorder the terms: y = [1 + -2i + -1x + 2i + -2ix + -4i2 + [2ix + -1x + x2]](-3 + x) y = [1 + -2i + -1x + 2i + -2ix + -4i2 + [2ix + -1x + x2]](-3 + x) Reorder the terms: y = [1 + -2i + 2i + -2ix + 2ix + -4i2 + -1x + -1x + x2](-3 + x) Combine like terms: -2i + 2i = 0 y = [1 + 0 + -2ix + 2ix + -4i2 + -1x + -1x + x2](-3 + x) y = [1 + -2ix + 2ix + -4i2 + -1x + -1x + x2](-3 + x) Combine like terms: -2ix + 2ix = 0 y = [1 + 0 + -4i2 + -1x + -1x + x2](-3 + x) y = [1 + -4i2 + -1x + -1x + x2](-3 + x) Combine like terms: -1x + -1x = -2x y = [1 + -4i2 + -2x + x2](-3 + x) Multiply [1 + -4i2 + -2x + x2] * (-3 + x) y = [1(-3 + x) + -4i2 * (-3 + x) + -2x * (-3 + x) + x2(-3 + x)] y = [(-3 * 1 + x * 1) + -4i2 * (-3 + x) + -2x * (-3 + x) + x2(-3 + x)] y = [(-3 + 1x) + -4i2 * (-3 + x) + -2x * (-3 + x) + x2(-3 + x)] y = [-3 + 1x + (-3 * -4i2 + x * -4i2) + -2x * (-3 + x) + x2(-3 + x)] y = [-3 + 1x + (12i2 + -4i2x) + -2x * (-3 + x) + x2(-3 + x)] y = [-3 + 1x + 12i2 + -4i2x + (-3 * -2x + x * -2x) + x2(-3 + x)] y = [-3 + 1x + 12i2 + -4i2x + (6x + -2x2) + x2(-3 + x)] y = [-3 + 1x + 12i2 + -4i2x + 6x + -2x2 + (-3 * x2 + x * x2)] y = [-3 + 1x + 12i2 + -4i2x + 6x + -2x2 + (-3x2 + x3)] Reorder the terms: y = [-3 + 12i2 + -4i2x + 1x + 6x + -2x2 + -3x2 + x3] Combine like terms: 1x + 6x = 7x y = [-3 + 12i2 + -4i2x + 7x + -2x2 + -3x2 + x3] Combine like terms: -2x2 + -3x2 = -5x2 y = [-3 + 12i2 + -4i2x + 7x + -5x2 + x3] Solving y = -3 + 12i2 + -4i2x + 7x + -5x2 + x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -3 + 12i2 + -4i2x + 7x + -5x2 + x3
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