Z^2-(3-i)z-2i+2=0

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Solution for Z^2-(3-i)z-2i+2=0 equation: 


Simplifying
Z2 + -1(3 + -1i) * z + -2i + 2 = 0

Reorder the terms for easier multiplication:
Z2 + -1z(3 + -1i) + -2i + 2 = 0
Z2 + (3 * -1z + -1i * -1z) + -2i + 2 = 0

Reorder the terms:
Z2 + (1iz + -3z) + -2i + 2 = 0
Z2 + (1iz + -3z) + -2i + 2 = 0

Reorder the terms:
2 + Z2 + -2i + 1iz + -3z = 0

Solving
2 + Z2 + -2i + 1iz + -3z = 0

Solving for variable 'Z'.

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

Add '-2' to each side of the equation.
2 + Z2 + -2i + 1iz + -2 + -3z = 0 + -2

Reorder the terms:
2 + -2 + Z2 + -2i + 1iz + -3z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + Z2 + -2i + 1iz + -3z = 0 + -2
Z2 + -2i + 1iz + -3z = 0 + -2

Combine like terms: 0 + -2 = -2
Z2 + -2i + 1iz + -3z = -2

Add '2i' to each side of the equation.
Z2 + -2i + 1iz + 2i + -3z = -2 + 2i

Reorder the terms:
Z2 + -2i + 2i + 1iz + -3z = -2 + 2i

Combine like terms: -2i + 2i = 0
Z2 + 0 + 1iz + -3z = -2 + 2i
Z2 + 1iz + -3z = -2 + 2i

Add '-1iz' to each side of the equation.
Z2 + 1iz + -1iz + -3z = -2 + 2i + -1iz

Combine like terms: 1iz + -1iz = 0
Z2 + 0 + -3z = -2 + 2i + -1iz
Z2 + -3z = -2 + 2i + -1iz

Add '3z' to each side of the equation.
Z2 + -3z + 3z = -2 + 2i + -1iz + 3z

Combine like terms: -3z + 3z = 0
Z2 + 0 = -2 + 2i + -1iz + 3z
Z2 = -2 + 2i + -1iz + 3z

Simplifying
Z2 = -2 + 2i + -1iz + 3z

Reorder the terms:
2 + Z2 + -2i + iz + -3z = -2 + 2i + -1iz + 3z + 2 + -2i + iz + -3z

Reorder the terms:
2 + Z2 + -2i + iz + -3z = -2 + 2 + 2i + -2i + -1iz + iz + 3z + -3z

Combine like terms: -2 + 2 = 0
2 + Z2 + -2i + iz + -3z = 0 + 2i + -2i + -1iz + iz + 3z + -3z
2 + Z2 + -2i + iz + -3z = 2i + -2i + -1iz + iz + 3z + -3z

Combine like terms: 2i + -2i = 0
2 + Z2 + -2i + iz + -3z = 0 + -1iz + iz + 3z + -3z
2 + Z2 + -2i + iz + -3z = -1iz + iz + 3z + -3z

Combine like terms: -1iz + iz = 0
2 + Z2 + -2i + iz + -3z = 0 + 3z + -3z
2 + Z2 + -2i + iz + -3z = 3z + -3z

Combine like terms: 3z + -3z = 0
2 + Z2 + -2i + iz + -3z = 0

The solution to this equation could not be determined.

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