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

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


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

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

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

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

Reorder the terms:
0 = (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))

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

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

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

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

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

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

Solving for variable 'i'.

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

Add '4i2' to each side of the equation.
0 + 4i2 = 4 + -4i2 + -4x + 4i2 + x2
Remove the zero:
4i2 = 4 + -4i2 + -4x + 4i2 + x2

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

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

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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