(x+4)(x-(1-I))(x-(1+I))=0

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Solution for (x+4)(x-(1-I))(x-(1+I))=0 equation: 


Simplifying
(x + 4)(x + -1(1 + -1I))(x + -1(1 + I)) = 0

Reorder the terms:
(4 + x)(x + -1(1 + -1I))(x + -1(1 + I)) = 0
(4 + x)(x + (1 * -1 + -1I * -1))(x + -1(1 + I)) = 0
(4 + x)(x + (-1 + 1I))(x + -1(1 + I)) = 0

Reorder the terms:
(4 + x)(-1 + 1I + x)(x + -1(1 + I)) = 0
(4 + x)(-1 + 1I + x)(x + (1 * -1 + I * -1)) = 0
(4 + x)(-1 + 1I + x)(x + (-1 + -1I)) = 0

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

Multiply (4 + x) * (-1 + 1I + x)
(4(-1 + 1I + x) + x(-1 + 1I + x))(-1 + -1I + x) = 0
((-1 * 4 + 1I * 4 + x * 4) + x(-1 + 1I + x))(-1 + -1I + x) = 0
((-4 + 4I + 4x) + x(-1 + 1I + x))(-1 + -1I + x) = 0
(-4 + 4I + 4x + (-1 * x + 1I * x + x * x))(-1 + -1I + x) = 0
(-4 + 4I + 4x + (-1x + 1xI + x2))(-1 + -1I + x) = 0

Combine like terms: 4x + -1x = 3x
(-4 + 4I + 3x + 1xI + x2)(-1 + -1I + x) = 0

Multiply (-4 + 4I + 3x + 1xI + x2) * (-1 + -1I + x)
(-4(-1 + -1I + x) + 4I * (-1 + -1I + x) + 3x * (-1 + -1I + x) + 1xI * (-1 + -1I + x) + x2(-1 + -1I + x)) = 0
((-1 * -4 + -1I * -4 + x * -4) + 4I * (-1 + -1I + x) + 3x * (-1 + -1I + x) + 1xI * (-1 + -1I + x) + x2(-1 + -1I + x)) = 0
((4 + 4I + -4x) + 4I * (-1 + -1I + x) + 3x * (-1 + -1I + x) + 1xI * (-1 + -1I + x) + x2(-1 + -1I + x)) = 0
(4 + 4I + -4x + (-1 * 4I + -1I * 4I + x * 4I) + 3x * (-1 + -1I + x) + 1xI * (-1 + -1I + x) + x2(-1 + -1I + x)) = 0
(4 + 4I + -4x + (-4I + -4I2 + 4xI) + 3x * (-1 + -1I + x) + 1xI * (-1 + -1I + x) + x2(-1 + -1I + x)) = 0
(4 + 4I + -4x + -4I + -4I2 + 4xI + (-1 * 3x + -1I * 3x + x * 3x) + 1xI * (-1 + -1I + x) + x2(-1 + -1I + x)) = 0
(4 + 4I + -4x + -4I + -4I2 + 4xI + (-3x + -3xI + 3x2) + 1xI * (-1 + -1I + x) + x2(-1 + -1I + x)) = 0
(4 + 4I + -4x + -4I + -4I2 + 4xI + -3x + -3xI + 3x2 + (-1 * 1xI + -1I * 1xI + x * 1xI) + x2(-1 + -1I + x)) = 0
(4 + 4I + -4x + -4I + -4I2 + 4xI + -3x + -3xI + 3x2 + (-1xI + -1xI2 + 1x2I) + x2(-1 + -1I + x)) = 0
(4 + 4I + -4x + -4I + -4I2 + 4xI + -3x + -3xI + 3x2 + -1xI + -1xI2 + 1x2I + (-1 * x2 + -1I * x2 + x * x2)) = 0
(4 + 4I + -4x + -4I + -4I2 + 4xI + -3x + -3xI + 3x2 + -1xI + -1xI2 + 1x2I + (-1x2 + -1x2I + x3)) = 0

Reorder the terms:
(4 + 4I + -4I + -4I2 + -4x + -3x + 4xI + -3xI + -1xI + -1xI2 + 3x2 + -1x2 + 1x2I + -1x2I + x3) = 0

Combine like terms: 4I + -4I = 0
(4 + 0 + -4I2 + -4x + -3x + 4xI + -3xI + -1xI + -1xI2 + 3x2 + -1x2 + 1x2I + -1x2I + x3) = 0
(4 + -4I2 + -4x + -3x + 4xI + -3xI + -1xI + -1xI2 + 3x2 + -1x2 + 1x2I + -1x2I + x3) = 0

Combine like terms: -4x + -3x = -7x
(4 + -4I2 + -7x + 4xI + -3xI + -1xI + -1xI2 + 3x2 + -1x2 + 1x2I + -1x2I + x3) = 0

Combine like terms: 4xI + -3xI = 1xI
(4 + -4I2 + -7x + 1xI + -1xI + -1xI2 + 3x2 + -1x2 + 1x2I + -1x2I + x3) = 0

Combine like terms: 1xI + -1xI = 0
(4 + -4I2 + -7x + 0 + -1xI2 + 3x2 + -1x2 + 1x2I + -1x2I + x3) = 0
(4 + -4I2 + -7x + -1xI2 + 3x2 + -1x2 + 1x2I + -1x2I + x3) = 0

Combine like terms: 3x2 + -1x2 = 2x2
(4 + -4I2 + -7x + -1xI2 + 2x2 + 1x2I + -1x2I + x3) = 0

Combine like terms: 1x2I + -1x2I = 0
(4 + -4I2 + -7x + -1xI2 + 2x2 + 0 + x3) = 0
(4 + -4I2 + -7x + -1xI2 + 2x2 + x3) = 0

Solving
4 + -4I2 + -7x + -1xI2 + 2x2 + x3 = 0

Solving for variable 'I'.

Move all terms containing I to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4I2 + -7x + -1xI2 + 2x2 + -4 + x3 = 0 + -4

Reorder the terms:
4 + -4 + -4I2 + -7x + -1xI2 + 2x2 + x3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4I2 + -7x + -1xI2 + 2x2 + x3 = 0 + -4
-4I2 + -7x + -1xI2 + 2x2 + x3 = 0 + -4

Combine like terms: 0 + -4 = -4
-4I2 + -7x + -1xI2 + 2x2 + x3 = -4

Add '7x' to each side of the equation.
-4I2 + -7x + -1xI2 + 2x2 + 7x + x3 = -4 + 7x

Reorder the terms:
-4I2 + -7x + 7x + -1xI2 + 2x2 + x3 = -4 + 7x

Combine like terms: -7x + 7x = 0
-4I2 + 0 + -1xI2 + 2x2 + x3 = -4 + 7x
-4I2 + -1xI2 + 2x2 + x3 = -4 + 7x

Add '-2x2' to each side of the equation.
-4I2 + -1xI2 + 2x2 + -2x2 + x3 = -4 + 7x + -2x2

Combine like terms: 2x2 + -2x2 = 0
-4I2 + -1xI2 + 0 + x3 = -4 + 7x + -2x2
-4I2 + -1xI2 + x3 = -4 + 7x + -2x2

Add '-1x3' to each side of the equation.
-4I2 + -1xI2 + x3 + -1x3 = -4 + 7x + -2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-4I2 + -1xI2 + 0 = -4 + 7x + -2x2 + -1x3
-4I2 + -1xI2 = -4 + 7x + -2x2 + -1x3

Reorder the terms:
4 + -4I2 + -7x + -1xI2 + 2x2 + x3 = -4 + 7x + -2x2 + -1x3 + 4 + -7x + 2x2 + x3

Reorder the terms:
4 + -4I2 + -7x + -1xI2 + 2x2 + x3 = -4 + 4 + 7x + -7x + -2x2 + 2x2 + -1x3 + x3

Combine like terms: -4 + 4 = 0
4 + -4I2 + -7x + -1xI2 + 2x2 + x3 = 0 + 7x + -7x + -2x2 + 2x2 + -1x3 + x3
4 + -4I2 + -7x + -1xI2 + 2x2 + x3 = 7x + -7x + -2x2 + 2x2 + -1x3 + x3

Combine like terms: 7x + -7x = 0
4 + -4I2 + -7x + -1xI2 + 2x2 + x3 = 0 + -2x2 + 2x2 + -1x3 + x3
4 + -4I2 + -7x + -1xI2 + 2x2 + x3 = -2x2 + 2x2 + -1x3 + x3

Combine like terms: -2x2 + 2x2 = 0
4 + -4I2 + -7x + -1xI2 + 2x2 + x3 = 0 + -1x3 + x3
4 + -4I2 + -7x + -1xI2 + 2x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
4 + -4I2 + -7x + -1xI2 + 2x2 + x3 = 0

The solution to this equation could not be determined.

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