x^2+(4-4i)x+(8-2i)=0

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Solution for x^2+(4-4i)x+(8-2i)=0 equation: 


Simplifying
x2 + (4 + -4i) * x + (8 + -2i) = 0

Reorder the terms for easier multiplication:
x2 + x(4 + -4i) + (8 + -2i) = 0
x2 + (4 * x + -4i * x) + (8 + -2i) = 0

Reorder the terms:
x2 + (-4ix + 4x) + (8 + -2i) = 0
x2 + (-4ix + 4x) + (8 + -2i) = 0

Remove parenthesis around (8 + -2i)
x2 + -4ix + 4x + 8 + -2i = 0

Reorder the terms:
8 + -2i + -4ix + 4x + x2 = 0

Solving
8 + -2i + -4ix + 4x + x2 = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + -2i + -4ix + 4x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -2i + -4ix + 4x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2i + -4ix + 4x + x2 = 0 + -8
-2i + -4ix + 4x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2i + -4ix + 4x + x2 = -8

Add '-4x' to each side of the equation.
-2i + -4ix + 4x + -4x + x2 = -8 + -4x

Combine like terms: 4x + -4x = 0
-2i + -4ix + 0 + x2 = -8 + -4x
-2i + -4ix + x2 = -8 + -4x

Add '-1x2' to each side of the equation.
-2i + -4ix + x2 + -1x2 = -8 + -4x + -1x2

Combine like terms: x2 + -1x2 = 0
-2i + -4ix + 0 = -8 + -4x + -1x2
-2i + -4ix = -8 + -4x + -1x2

Reorder the terms:
8 + -2i + -4ix + 4x + x2 = -8 + -4x + -1x2 + 8 + 4x + x2

Reorder the terms:
8 + -2i + -4ix + 4x + x2 = -8 + 8 + -4x + 4x + -1x2 + x2

Combine like terms: -8 + 8 = 0
8 + -2i + -4ix + 4x + x2 = 0 + -4x + 4x + -1x2 + x2
8 + -2i + -4ix + 4x + x2 = -4x + 4x + -1x2 + x2

Combine like terms: -4x + 4x = 0
8 + -2i + -4ix + 4x + x2 = 0 + -1x2 + x2
8 + -2i + -4ix + 4x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
8 + -2i + -4ix + 4x + x2 = 0

The solution to this equation could not be determined.

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