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

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


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

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

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

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

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

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

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

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

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

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

Solving
x = 4 + -1i2 + -4x + x2

Solving for variable 'x'.

Reorder the terms:
-4 + i2 + x + 4x + -1x2 = 4 + -1i2 + -4x + x2 + -4 + i2 + 4x + -1x2

Combine like terms: x + 4x = 5x
-4 + i2 + 5x + -1x2 = 4 + -1i2 + -4x + x2 + -4 + i2 + 4x + -1x2

Reorder the terms:
-4 + i2 + 5x + -1x2 = 4 + -4 + -1i2 + i2 + -4x + 4x + x2 + -1x2

Combine like terms: 4 + -4 = 0
-4 + i2 + 5x + -1x2 = 0 + -1i2 + i2 + -4x + 4x + x2 + -1x2
-4 + i2 + 5x + -1x2 = -1i2 + i2 + -4x + 4x + x2 + -1x2

Combine like terms: -1i2 + i2 = 0
-4 + i2 + 5x + -1x2 = 0 + -4x + 4x + x2 + -1x2
-4 + i2 + 5x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-4 + i2 + 5x + -1x2 = 0 + x2 + -1x2
-4 + i2 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + i2 + 5x + -1x2 = 0

The solution to this equation could not be determined.

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