(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

Remove parenthesis around (1 + -2i)
(-1 + 2i + x)(x + 1 + -2i) = 0

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

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

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

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

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

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

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

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

Solving
-1 + 4i + -4i2 + x2 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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