z^2-(3-2i)z=(5i-5)

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Solution for z^2-(3-2i)z=(5i-5) equation: 


Simplifying
z2 + -1(3 + -2i) * z = (5i + -5)

Reorder the terms for easier multiplication:
z2 + -1z(3 + -2i) = (5i + -5)
z2 + (3 * -1z + -2i * -1z) = (5i + -5)

Reorder the terms:
z2 + (2iz + -3z) = (5i + -5)
z2 + (2iz + -3z) = (5i + -5)

Reorder the terms:
2iz + -3z + z2 = (5i + -5)

Reorder the terms:
2iz + -3z + z2 = (-5 + 5i)

Remove parenthesis around (-5 + 5i)
2iz + -3z + z2 = -5 + 5i

Solving
2iz + -3z + z2 = -5 + 5i

Solving for variable 'i'.

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

Add '-5i' to each side of the equation.
2iz + -3z + -5i + z2 = -5 + 5i + -5i

Reorder the terms:
-5i + 2iz + -3z + z2 = -5 + 5i + -5i

Combine like terms: 5i + -5i = 0
-5i + 2iz + -3z + z2 = -5 + 0
-5i + 2iz + -3z + z2 = -5

Add '3z' to each side of the equation.
-5i + 2iz + -3z + 3z + z2 = -5 + 3z

Combine like terms: -3z + 3z = 0
-5i + 2iz + 0 + z2 = -5 + 3z
-5i + 2iz + z2 = -5 + 3z

Add '-1z2' to each side of the equation.
-5i + 2iz + z2 + -1z2 = -5 + 3z + -1z2

Combine like terms: z2 + -1z2 = 0
-5i + 2iz + 0 = -5 + 3z + -1z2
-5i + 2iz = -5 + 3z + -1z2

Reorder the terms:
5 + -5i + 2iz + -3z + z2 = -5 + 3z + -1z2 + 5 + -3z + z2

Reorder the terms:
5 + -5i + 2iz + -3z + z2 = -5 + 5 + 3z + -3z + -1z2 + z2

Combine like terms: -5 + 5 = 0
5 + -5i + 2iz + -3z + z2 = 0 + 3z + -3z + -1z2 + z2
5 + -5i + 2iz + -3z + z2 = 3z + -3z + -1z2 + z2

Combine like terms: 3z + -3z = 0
5 + -5i + 2iz + -3z + z2 = 0 + -1z2 + z2
5 + -5i + 2iz + -3z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
5 + -5i + 2iz + -3z + z2 = 0

The solution to this equation could not be determined.

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