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

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


Simplifying
z2 + (4 + -4i) * z + (8 + -2i) = 0

Reorder the terms for easier multiplication:
z2 + z(4 + -4i) + (8 + -2i) = 0
z2 + (4 * z + -4i * z) + (8 + -2i) = 0

Reorder the terms:
z2 + (-4iz + 4z) + (8 + -2i) = 0
z2 + (-4iz + 4z) + (8 + -2i) = 0

Remove parenthesis around (8 + -2i)
z2 + -4iz + 4z + 8 + -2i = 0

Reorder the terms:
8 + -2i + -4iz + 4z + z2 = 0

Solving
8 + -2i + -4iz + 4z + z2 = 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 + -4iz + 4z + -8 + z2 = 0 + -8

Reorder the terms:
8 + -8 + -2i + -4iz + 4z + z2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2i + -4iz + 4z + z2 = 0 + -8
-2i + -4iz + 4z + z2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2i + -4iz + 4z + z2 = -8

Add '-4z' to each side of the equation.
-2i + -4iz + 4z + -4z + z2 = -8 + -4z

Combine like terms: 4z + -4z = 0
-2i + -4iz + 0 + z2 = -8 + -4z
-2i + -4iz + z2 = -8 + -4z

Add '-1z2' to each side of the equation.
-2i + -4iz + z2 + -1z2 = -8 + -4z + -1z2

Combine like terms: z2 + -1z2 = 0
-2i + -4iz + 0 = -8 + -4z + -1z2
-2i + -4iz = -8 + -4z + -1z2

Reorder the terms:
8 + -2i + -4iz + 4z + z2 = -8 + -4z + -1z2 + 8 + 4z + z2

Reorder the terms:
8 + -2i + -4iz + 4z + z2 = -8 + 8 + -4z + 4z + -1z2 + z2

Combine like terms: -8 + 8 = 0
8 + -2i + -4iz + 4z + z2 = 0 + -4z + 4z + -1z2 + z2
8 + -2i + -4iz + 4z + z2 = -4z + 4z + -1z2 + z2

Combine like terms: -4z + 4z = 0
8 + -2i + -4iz + 4z + z2 = 0 + -1z2 + z2
8 + -2i + -4iz + 4z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
8 + -2i + -4iz + 4z + z2 = 0

The solution to this equation could not be determined.

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