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

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


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

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

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

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

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

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

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

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

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

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

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

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

Solving for variable 'i'.

The solution to this equation could not be determined.

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