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

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


Simplifying
z2 + (2 + -2i) * z + -1(4 + 2i) = 0

Reorder the terms for easier multiplication:
z2 + z(2 + -2i) + -1(4 + 2i) = 0
z2 + (2 * z + -2i * z) + -1(4 + 2i) = 0

Reorder the terms:
z2 + (-2iz + 2z) + -1(4 + 2i) = 0
z2 + (-2iz + 2z) + -1(4 + 2i) = 0
z2 + -2iz + 2z + (4 * -1 + 2i * -1) = 0
z2 + -2iz + 2z + (-4 + -2i) = 0

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

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

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + -2i + -2iz + 2z + 4 + z2 = 0 + 4

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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