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

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Solution for (x-(1-2i))(x(1-2i))=0 equation: 


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

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

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

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

Reorder the terms:
(2ix + -1x + (2ix + -4i2x) + x(-2ix + 1x)) = 0
(2ix + -1x + (2ix + -4i2x) + x(-2ix + 1x)) = 0
(2ix + -1x + 2ix + -4i2x + (-2ix * x + 1x * x)) = 0
(2ix + -1x + 2ix + -4i2x + (-2ix2 + 1x2)) = 0

Reorder the terms:
(2ix + 2ix + -2ix2 + -4i2x + -1x + 1x2) = 0

Combine like terms: 2ix + 2ix = 4ix
(4ix + -2ix2 + -4i2x + -1x + 1x2) = 0

Solving
4ix + -2ix2 + -4i2x + -1x + 1x2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4i + -2ix + -4i2 + -1 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(4i + -2ix + -4i2 + -1 + x)' equal to zero and attempt to solve:

Simplifying
4i + -2ix + -4i2 + -1 + x = 0

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

Solving
-1 + 4i + -2ix + -4i2 + x = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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