(X-1+I)(x-1-I)(x+5)=0

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Solution for (X-1+I)(x-1-I)(x+5)=0 equation: 


Simplifying
(X + -1 + I)(x + -1 + -1I)(x + 5) = 0

Reorder the terms:
(-1 + I + X)(x + -1 + -1I)(x + 5) = 0

Reorder the terms:
(-1 + I + X)(-1 + -1I + x)(x + 5) = 0

Reorder the terms:
(-1 + I + X)(-1 + -1I + x)(5 + x) = 0

Multiply (-1 + I + X) * (-1 + -1I + x)
(-1(-1 + -1I + x) + I(-1 + -1I + x) + X(-1 + -1I + x))(5 + x) = 0
((-1 * -1 + -1I * -1 + x * -1) + I(-1 + -1I + x) + X(-1 + -1I + x))(5 + x) = 0
((1 + 1I + -1x) + I(-1 + -1I + x) + X(-1 + -1I + x))(5 + x) = 0
(1 + 1I + -1x + (-1 * I + -1I * I + x * I) + X(-1 + -1I + x))(5 + x) = 0
(1 + 1I + -1x + (-1I + -1I2 + xI) + X(-1 + -1I + x))(5 + x) = 0
(1 + 1I + -1x + -1I + -1I2 + xI + (-1 * X + -1I * X + x * X))(5 + x) = 0

Reorder the terms:
(1 + 1I + -1x + -1I + -1I2 + xI + (-1IX + -1X + xX))(5 + x) = 0
(1 + 1I + -1x + -1I + -1I2 + xI + (-1IX + -1X + xX))(5 + x) = 0

Reorder the terms:
(1 + 1I + -1I + -1IX + -1I2 + -1X + -1x + xI + xX)(5 + x) = 0

Combine like terms: 1I + -1I = 0
(1 + 0 + -1IX + -1I2 + -1X + -1x + xI + xX)(5 + x) = 0
(1 + -1IX + -1I2 + -1X + -1x + xI + xX)(5 + x) = 0

Multiply (1 + -1IX + -1I2 + -1X + -1x + xI + xX) * (5 + x)
(1(5 + x) + -1IX * (5 + x) + -1I2 * (5 + x) + -1X * (5 + x) + -1x * (5 + x) + xI(5 + x) + xX(5 + x)) = 0
((5 * 1 + x * 1) + -1IX * (5 + x) + -1I2 * (5 + x) + -1X * (5 + x) + -1x * (5 + x) + xI(5 + x) + xX(5 + x)) = 0
((5 + 1x) + -1IX * (5 + x) + -1I2 * (5 + x) + -1X * (5 + x) + -1x * (5 + x) + xI(5 + x) + xX(5 + x)) = 0
(5 + 1x + (5 * -1IX + x * -1IX) + -1I2 * (5 + x) + -1X * (5 + x) + -1x * (5 + x) + xI(5 + x) + xX(5 + x)) = 0
(5 + 1x + (-5IX + -1xIX) + -1I2 * (5 + x) + -1X * (5 + x) + -1x * (5 + x) + xI(5 + x) + xX(5 + x)) = 0
(5 + 1x + -5IX + -1xIX + (5 * -1I2 + x * -1I2) + -1X * (5 + x) + -1x * (5 + x) + xI(5 + x) + xX(5 + x)) = 0
(5 + 1x + -5IX + -1xIX + (-5I2 + -1xI2) + -1X * (5 + x) + -1x * (5 + x) + xI(5 + x) + xX(5 + x)) = 0
(5 + 1x + -5IX + -1xIX + -5I2 + -1xI2 + (5 * -1X + x * -1X) + -1x * (5 + x) + xI(5 + x) + xX(5 + x)) = 0
(5 + 1x + -5IX + -1xIX + -5I2 + -1xI2 + (-5X + -1xX) + -1x * (5 + x) + xI(5 + x) + xX(5 + x)) = 0
(5 + 1x + -5IX + -1xIX + -5I2 + -1xI2 + -5X + -1xX + (5 * -1x + x * -1x) + xI(5 + x) + xX(5 + x)) = 0
(5 + 1x + -5IX + -1xIX + -5I2 + -1xI2 + -5X + -1xX + (-5x + -1x2) + xI(5 + x) + xX(5 + x)) = 0
(5 + 1x + -5IX + -1xIX + -5I2 + -1xI2 + -5X + -1xX + -5x + -1x2 + (5 * xI + x * xI) + xX(5 + x)) = 0
(5 + 1x + -5IX + -1xIX + -5I2 + -1xI2 + -5X + -1xX + -5x + -1x2 + (5xI + x2I) + xX(5 + x)) = 0
(5 + 1x + -5IX + -1xIX + -5I2 + -1xI2 + -5X + -1xX + -5x + -1x2 + 5xI + x2I + (5 * xX + x * xX)) = 0
(5 + 1x + -5IX + -1xIX + -5I2 + -1xI2 + -5X + -1xX + -5x + -1x2 + 5xI + x2I + (5xX + x2X)) = 0

Reorder the terms:
(5 + -5IX + -5I2 + -5X + 1x + -5x + 5xI + -1xIX + -1xI2 + -1xX + 5xX + -1x2 + x2I + x2X) = 0

Combine like terms: 1x + -5x = -4x
(5 + -5IX + -5I2 + -5X + -4x + 5xI + -1xIX + -1xI2 + -1xX + 5xX + -1x2 + x2I + x2X) = 0

Combine like terms: -1xX + 5xX = 4xX
(5 + -5IX + -5I2 + -5X + -4x + 5xI + -1xIX + -1xI2 + 4xX + -1x2 + x2I + x2X) = 0

Solving
5 + -5IX + -5I2 + -5X + -4x + 5xI + -1xIX + -1xI2 + 4xX + -1x2 + x2I + x2X = 0

Solving for variable 'I'.

The solution to this equation could not be determined.

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