(x-(2+2i))(x-(2-2i))(x+1)(x-2)=

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Solution for (x-(2+2i))(x-(2-2i))(x+1)(x-2)= equation: 


Simplifying
(x + -1(2 + 2i))(x + -1(2 + -2i))(x + 1)(x + -2) = 0
(x + (2 * -1 + 2i * -1))(x + -1(2 + -2i))(x + 1)(x + -2) = 0
(x + (-2 + -2i))(x + -1(2 + -2i))(x + 1)(x + -2) = 0

Reorder the terms:
(-2 + -2i + x)(x + -1(2 + -2i))(x + 1)(x + -2) = 0
(-2 + -2i + x)(x + (2 * -1 + -2i * -1))(x + 1)(x + -2) = 0
(-2 + -2i + x)(x + (-2 + 2i))(x + 1)(x + -2) = 0

Reorder the terms:
(-2 + -2i + x)(-2 + 2i + x)(x + 1)(x + -2) = 0

Reorder the terms:
(-2 + -2i + x)(-2 + 2i + x)(1 + x)(x + -2) = 0

Reorder the terms:
(-2 + -2i + x)(-2 + 2i + x)(1 + x)(-2 + x) = 0

Multiply (-2 + -2i + x) * (-2 + 2i + x)
(-2(-2 + 2i + x) + -2i * (-2 + 2i + x) + x(-2 + 2i + x))(1 + x)(-2 + x) = 0
((-2 * -2 + 2i * -2 + x * -2) + -2i * (-2 + 2i + x) + x(-2 + 2i + x))(1 + x)(-2 + x) = 0
((4 + -4i + -2x) + -2i * (-2 + 2i + x) + x(-2 + 2i + x))(1 + x)(-2 + x) = 0
(4 + -4i + -2x + (-2 * -2i + 2i * -2i + x * -2i) + x(-2 + 2i + x))(1 + x)(-2 + x) = 0

Reorder the terms:
(4 + -4i + -2x + (4i + -2ix + -4i2) + x(-2 + 2i + x))(1 + x)(-2 + x) = 0
(4 + -4i + -2x + (4i + -2ix + -4i2) + x(-2 + 2i + x))(1 + x)(-2 + x) = 0
(4 + -4i + -2x + 4i + -2ix + -4i2 + (-2 * x + 2i * x + x * x))(1 + x)(-2 + x) = 0

Reorder the terms:
(4 + -4i + -2x + 4i + -2ix + -4i2 + (2ix + -2x + x2))(1 + x)(-2 + x) = 0
(4 + -4i + -2x + 4i + -2ix + -4i2 + (2ix + -2x + x2))(1 + x)(-2 + x) = 0

Reorder the terms:
(4 + -4i + 4i + -2ix + 2ix + -4i2 + -2x + -2x + x2)(1 + x)(-2 + x) = 0

Combine like terms: -4i + 4i = 0
(4 + 0 + -2ix + 2ix + -4i2 + -2x + -2x + x2)(1 + x)(-2 + x) = 0
(4 + -2ix + 2ix + -4i2 + -2x + -2x + x2)(1 + x)(-2 + x) = 0

Combine like terms: -2ix + 2ix = 0
(4 + 0 + -4i2 + -2x + -2x + x2)(1 + x)(-2 + x) = 0
(4 + -4i2 + -2x + -2x + x2)(1 + x)(-2 + x) = 0

Combine like terms: -2x + -2x = -4x
(4 + -4i2 + -4x + x2)(1 + x)(-2 + x) = 0

Multiply (4 + -4i2 + -4x + x2) * (1 + x)
(4(1 + x) + -4i2 * (1 + x) + -4x * (1 + x) + x2(1 + x))(-2 + x) = 0
((1 * 4 + x * 4) + -4i2 * (1 + x) + -4x * (1 + x) + x2(1 + x))(-2 + x) = 0
((4 + 4x) + -4i2 * (1 + x) + -4x * (1 + x) + x2(1 + x))(-2 + x) = 0
(4 + 4x + (1 * -4i2 + x * -4i2) + -4x * (1 + x) + x2(1 + x))(-2 + x) = 0
(4 + 4x + (-4i2 + -4i2x) + -4x * (1 + x) + x2(1 + x))(-2 + x) = 0
(4 + 4x + -4i2 + -4i2x + (1 * -4x + x * -4x) + x2(1 + x))(-2 + x) = 0
(4 + 4x + -4i2 + -4i2x + (-4x + -4x2) + x2(1 + x))(-2 + x) = 0
(4 + 4x + -4i2 + -4i2x + -4x + -4x2 + (1 * x2 + x * x2))(-2 + x) = 0
(4 + 4x + -4i2 + -4i2x + -4x + -4x2 + (1x2 + x3))(-2 + x) = 0

Reorder the terms:
(4 + -4i2 + -4i2x + 4x + -4x + -4x2 + 1x2 + x3)(-2 + x) = 0

Combine like terms: 4x + -4x = 0
(4 + -4i2 + -4i2x + 0 + -4x2 + 1x2 + x3)(-2 + x) = 0
(4 + -4i2 + -4i2x + -4x2 + 1x2 + x3)(-2 + x) = 0

Combine like terms: -4x2 + 1x2 = -3x2
(4 + -4i2 + -4i2x + -3x2 + x3)(-2 + x) = 0

Multiply (4 + -4i2 + -4i2x + -3x2 + x3) * (-2 + x)
(4(-2 + x) + -4i2 * (-2 + x) + -4i2x * (-2 + x) + -3x2 * (-2 + x) + x3(-2 + x)) = 0
((-2 * 4 + x * 4) + -4i2 * (-2 + x) + -4i2x * (-2 + x) + -3x2 * (-2 + x) + x3(-2 + x)) = 0
((-8 + 4x) + -4i2 * (-2 + x) + -4i2x * (-2 + x) + -3x2 * (-2 + x) + x3(-2 + x)) = 0
(-8 + 4x + (-2 * -4i2 + x * -4i2) + -4i2x * (-2 + x) + -3x2 * (-2 + x) + x3(-2 + x)) = 0
(-8 + 4x + (8i2 + -4i2x) + -4i2x * (-2 + x) + -3x2 * (-2 + x) + x3(-2 + x)) = 0
(-8 + 4x + 8i2 + -4i2x + (-2 * -4i2x + x * -4i2x) + -3x2 * (-2 + x) + x3(-2 + x)) = 0
(-8 + 4x + 8i2 + -4i2x + (8i2x + -4i2x2) + -3x2 * (-2 + x) + x3(-2 + x)) = 0
(-8 + 4x + 8i2 + -4i2x + 8i2x + -4i2x2 + (-2 * -3x2 + x * -3x2) + x3(-2 + x)) = 0
(-8 + 4x + 8i2 + -4i2x + 8i2x + -4i2x2 + (6x2 + -3x3) + x3(-2 + x)) = 0
(-8 + 4x + 8i2 + -4i2x + 8i2x + -4i2x2 + 6x2 + -3x3 + (-2 * x3 + x * x3)) = 0
(-8 + 4x + 8i2 + -4i2x + 8i2x + -4i2x2 + 6x2 + -3x3 + (-2x3 + x4)) = 0

Reorder the terms:
(-8 + 8i2 + -4i2x + 8i2x + -4i2x2 + 4x + 6x2 + -3x3 + -2x3 + x4) = 0

Combine like terms: -4i2x + 8i2x = 4i2x
(-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -3x3 + -2x3 + x4) = 0

Combine like terms: -3x3 + -2x3 = -5x3
(-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4) = 0

Solving
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 0

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + 8 + x4 = 0 + 8

Reorder the terms:
-8 + 8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 0 + 8
8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 0 + 8

Combine like terms: 0 + 8 = 8
8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 8

Add '-4x' to each side of the equation.
8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + -4x + x4 = 8 + -4x

Reorder the terms:
8i2 + 4i2x + -4i2x2 + 4x + -4x + 6x2 + -5x3 + x4 = 8 + -4x

Combine like terms: 4x + -4x = 0
8i2 + 4i2x + -4i2x2 + 0 + 6x2 + -5x3 + x4 = 8 + -4x
8i2 + 4i2x + -4i2x2 + 6x2 + -5x3 + x4 = 8 + -4x

Add '-6x2' to each side of the equation.
8i2 + 4i2x + -4i2x2 + 6x2 + -5x3 + -6x2 + x4 = 8 + -4x + -6x2

Reorder the terms:
8i2 + 4i2x + -4i2x2 + 6x2 + -6x2 + -5x3 + x4 = 8 + -4x + -6x2

Combine like terms: 6x2 + -6x2 = 0
8i2 + 4i2x + -4i2x2 + 0 + -5x3 + x4 = 8 + -4x + -6x2
8i2 + 4i2x + -4i2x2 + -5x3 + x4 = 8 + -4x + -6x2

Add '5x3' to each side of the equation.
8i2 + 4i2x + -4i2x2 + -5x3 + 5x3 + x4 = 8 + -4x + -6x2 + 5x3

Combine like terms: -5x3 + 5x3 = 0
8i2 + 4i2x + -4i2x2 + 0 + x4 = 8 + -4x + -6x2 + 5x3
8i2 + 4i2x + -4i2x2 + x4 = 8 + -4x + -6x2 + 5x3

Add '-1x4' to each side of the equation.
8i2 + 4i2x + -4i2x2 + x4 + -1x4 = 8 + -4x + -6x2 + 5x3 + -1x4

Combine like terms: x4 + -1x4 = 0
8i2 + 4i2x + -4i2x2 + 0 = 8 + -4x + -6x2 + 5x3 + -1x4
8i2 + 4i2x + -4i2x2 = 8 + -4x + -6x2 + 5x3 + -1x4

Reorder the terms:
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 8 + -4x + -6x2 + 5x3 + -1x4 + -8 + 4x + 6x2 + -5x3 + x4

Reorder the terms:
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 8 + -8 + -4x + 4x + -6x2 + 6x2 + 5x3 + -5x3 + -1x4 + x4

Combine like terms: 8 + -8 = 0
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 0 + -4x + 4x + -6x2 + 6x2 + 5x3 + -5x3 + -1x4 + x4
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = -4x + 4x + -6x2 + 6x2 + 5x3 + -5x3 + -1x4 + x4

Combine like terms: -4x + 4x = 0
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 0 + -6x2 + 6x2 + 5x3 + -5x3 + -1x4 + x4
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = -6x2 + 6x2 + 5x3 + -5x3 + -1x4 + x4

Combine like terms: -6x2 + 6x2 = 0
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 0 + 5x3 + -5x3 + -1x4 + x4
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 5x3 + -5x3 + -1x4 + x4

Combine like terms: 5x3 + -5x3 = 0
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 0 + -1x4 + x4
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-8 + 8i2 + 4i2x + -4i2x2 + 4x + 6x2 + -5x3 + x4 = 0

The solution to this equation could not be determined.

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