z^2-2(2i+1)z=2-4i

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Solution for z^2-2(2i+1)z=2-4i equation: 


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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