(x+(-5+2i))(x-(-5-2i))=0

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Solution for (x+(-5+2i))(x-(-5-2i))=0 equation: 


Simplifying
(x + (-5 + 2i))(x + -1(-5 + -2i)) = 0

Remove parenthesis around (-5 + 2i)
(x + -5 + 2i)(x + -1(-5 + -2i)) = 0

Reorder the terms:
(-5 + 2i + x)(x + -1(-5 + -2i)) = 0
(-5 + 2i + x)(x + (-5 * -1 + -2i * -1)) = 0
(-5 + 2i + x)(x + (5 + 2i)) = 0

Reorder the terms:
(-5 + 2i + x)(5 + 2i + x) = 0

Multiply (-5 + 2i + x) * (5 + 2i + x)
(-5(5 + 2i + x) + 2i * (5 + 2i + x) + x(5 + 2i + x)) = 0
((5 * -5 + 2i * -5 + x * -5) + 2i * (5 + 2i + x) + x(5 + 2i + x)) = 0
((-25 + -10i + -5x) + 2i * (5 + 2i + x) + x(5 + 2i + x)) = 0
(-25 + -10i + -5x + (5 * 2i + 2i * 2i + x * 2i) + x(5 + 2i + x)) = 0

Reorder the terms:
(-25 + -10i + -5x + (10i + 2ix + 4i2) + x(5 + 2i + x)) = 0
(-25 + -10i + -5x + (10i + 2ix + 4i2) + x(5 + 2i + x)) = 0
(-25 + -10i + -5x + 10i + 2ix + 4i2 + (5 * x + 2i * x + x * x)) = 0

Reorder the terms:
(-25 + -10i + -5x + 10i + 2ix + 4i2 + (2ix + 5x + x2)) = 0
(-25 + -10i + -5x + 10i + 2ix + 4i2 + (2ix + 5x + x2)) = 0

Reorder the terms:
(-25 + -10i + 10i + 2ix + 2ix + 4i2 + -5x + 5x + x2) = 0

Combine like terms: -10i + 10i = 0
(-25 + 0 + 2ix + 2ix + 4i2 + -5x + 5x + x2) = 0
(-25 + 2ix + 2ix + 4i2 + -5x + 5x + x2) = 0

Combine like terms: 2ix + 2ix = 4ix
(-25 + 4ix + 4i2 + -5x + 5x + x2) = 0

Combine like terms: -5x + 5x = 0
(-25 + 4ix + 4i2 + 0 + x2) = 0
(-25 + 4ix + 4i2 + x2) = 0

Solving
-25 + 4ix + 4i2 + x2 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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