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

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


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

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

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

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

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

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

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

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

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

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

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

Solving
-1i2x + 4x + -4x2 + x3 = 0

Solving for variable 'i'.

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

Add '-4x' to each side of the equation.
-1i2x + 4x + -4x2 + -4x + x3 = 0 + -4x

Reorder the terms:
-1i2x + 4x + -4x + -4x2 + x3 = 0 + -4x

Combine like terms: 4x + -4x = 0
-1i2x + 0 + -4x2 + x3 = 0 + -4x
-1i2x + -4x2 + x3 = 0 + -4x
Remove the zero:
-1i2x + -4x2 + x3 = -4x

Add '4x2' to each side of the equation.
-1i2x + -4x2 + 4x2 + x3 = -4x + 4x2

Combine like terms: -4x2 + 4x2 = 0
-1i2x + 0 + x3 = -4x + 4x2
-1i2x + x3 = -4x + 4x2

Add '-1x3' to each side of the equation.
-1i2x + x3 + -1x3 = -4x + 4x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-1i2x + 0 = -4x + 4x2 + -1x3
-1i2x = -4x + 4x2 + -1x3

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

Simplifying
i2 = 4 + -4x + x2

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

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

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

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

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

The solution to this equation could not be determined.

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