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Simplifying Y = -2(x + -1(1 + I))(x + -1(1 + -1I)) Y = -2(x + (1 * -1 + I * -1))(x + -1(1 + -1I)) Y = -2(x + (-1 + -1I))(x + -1(1 + -1I)) Reorder the terms: Y = -2(-1 + -1I + x)(x + -1(1 + -1I)) Y = -2(-1 + -1I + x)(x + (1 * -1 + -1I * -1)) Y = -2(-1 + -1I + x)(x + (-1 + 1I)) Reorder the terms: Y = -2(-1 + -1I + x)(-1 + 1I + x) Multiply (-1 + -1I + x) * (-1 + 1I + x) Y = -2(-1(-1 + 1I + x) + -1I * (-1 + 1I + x) + x(-1 + 1I + x)) Y = -2((-1 * -1 + 1I * -1 + x * -1) + -1I * (-1 + 1I + x) + x(-1 + 1I + x)) Y = -2((1 + -1I + -1x) + -1I * (-1 + 1I + x) + x(-1 + 1I + x)) Y = -2(1 + -1I + -1x + (-1 * -1I + 1I * -1I + x * -1I) + x(-1 + 1I + x)) Y = -2(1 + -1I + -1x + (1I + -1I2 + -1xI) + x(-1 + 1I + x)) Y = -2(1 + -1I + -1x + 1I + -1I2 + -1xI + (-1 * x + 1I * x + x * x)) Y = -2(1 + -1I + -1x + 1I + -1I2 + -1xI + (-1x + 1xI + x2)) Reorder the terms: Y = -2(1 + -1I + 1I + -1I2 + -1x + -1x + -1xI + 1xI + x2) Combine like terms: -1I + 1I = 0 Y = -2(1 + 0 + -1I2 + -1x + -1x + -1xI + 1xI + x2) Y = -2(1 + -1I2 + -1x + -1x + -1xI + 1xI + x2) Combine like terms: -1x + -1x = -2x Y = -2(1 + -1I2 + -2x + -1xI + 1xI + x2) Combine like terms: -1xI + 1xI = 0 Y = -2(1 + -1I2 + -2x + 0 + x2) Y = -2(1 + -1I2 + -2x + x2) Y = (1 * -2 + -1I2 * -2 + -2x * -2 + x2 * -2) Y = (-2 + 2I2 + 4x + -2x2) Solving Y = -2 + 2I2 + 4x + -2x2 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Simplifying Y = -2 + 2I2 + 4x + -2x2
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