z^2-2iz+2=4i

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Solution for z^2-2iz+2=4i equation:


Simplifying
z2 + -2iz + 2 = 4i

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

Solving
2 + -2iz + z2 = 4i

Solving for variable 'i'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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