[x-(2+2i)][x-(2-2i)]=0

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Solution for [x-(2+2i)][x-(2-2i)]=0 equation: 


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

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

Reorder the terms:
[-2 + -2i + x][-2 + 2i + x] = 0

Multiply [-2 + -2i + x] * [-2 + 2i + x]
[-2[-2 + 2i + x] + -2i * [-2 + 2i + x] + x[-2 + 2i + x]] = 0
[[-2 * -2 + 2i * -2 + x * -2] + -2i * [-2 + 2i + x] + x[-2 + 2i + x]] = 0
[[4 + -4i + -2x] + -2i * [-2 + 2i + x] + x[-2 + 2i + x]] = 0
[4 + -4i + -2x + [-2 * -2i + 2i * -2i + x * -2i] + x[-2 + 2i + x]] = 0

Reorder the terms:
[4 + -4i + -2x + [4i + -2ix + -4i2] + x[-2 + 2i + x]] = 0
[4 + -4i + -2x + [4i + -2ix + -4i2] + x[-2 + 2i + x]] = 0
[4 + -4i + -2x + 4i + -2ix + -4i2 + [-2 * x + 2i * x + x * x]] = 0

Reorder the terms:
[4 + -4i + -2x + 4i + -2ix + -4i2 + [2ix + -2x + x2]] = 0
[4 + -4i + -2x + 4i + -2ix + -4i2 + [2ix + -2x + x2]] = 0

Reorder the terms:
[4 + -4i + 4i + -2ix + 2ix + -4i2 + -2x + -2x + x2] = 0

Combine like terms: -4i + 4i = 0
[4 + 0 + -2ix + 2ix + -4i2 + -2x + -2x + x2] = 0
[4 + -2ix + 2ix + -4i2 + -2x + -2x + x2] = 0

Combine like terms: -2ix + 2ix = 0
[4 + 0 + -4i2 + -2x + -2x + x2] = 0
[4 + -4i2 + -2x + -2x + x2] = 0

Combine like terms: -2x + -2x = -4x
[4 + -4i2 + -4x + x2] = 0

Solving
4 + -4i2 + -4x + x2 = 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 + -4x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -4i2 + -4x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4i2 + -4x + x2 = 0 + -4
-4i2 + -4x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-4i2 + -4x + x2 = -4

Add '4x' to each side of the equation.
-4i2 + -4x + 4x + x2 = -4 + 4x

Combine like terms: -4x + 4x = 0
-4i2 + 0 + x2 = -4 + 4x
-4i2 + x2 = -4 + 4x

Add '-1x2' to each side of the equation.
-4i2 + x2 + -1x2 = -4 + 4x + -1x2

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

Divide each side by '-4'.
i2 = 1 + -1x + 0.25x2

Simplifying
i2 = 1 + -1x + 0.25x2

Reorder the terms:
-1 + i2 + x + -0.25x2 = 1 + -1x + 0.25x2 + -1 + x + -0.25x2

Reorder the terms:
-1 + i2 + x + -0.25x2 = 1 + -1 + -1x + x + 0.25x2 + -0.25x2

Combine like terms: 1 + -1 = 0
-1 + i2 + x + -0.25x2 = 0 + -1x + x + 0.25x2 + -0.25x2
-1 + i2 + x + -0.25x2 = -1x + x + 0.25x2 + -0.25x2

Combine like terms: -1x + x = 0
-1 + i2 + x + -0.25x2 = 0 + 0.25x2 + -0.25x2
-1 + i2 + x + -0.25x2 = 0.25x2 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
-1 + i2 + x + -0.25x2 = 0.00

The solution to this equation could not be determined.

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