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

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


Simplifying
z3 + (-3 + i) * z2 + -2iz + 2 + -2i = 0

Reorder the terms for easier multiplication:
z3 + z2(-3 + i) + -2iz + 2 + -2i = 0
z3 + (-3 * z2 + i * z2) + -2iz + 2 + -2i = 0

Reorder the terms:
z3 + (iz2 + -3z2) + -2iz + 2 + -2i = 0
z3 + (iz2 + -3z2) + -2iz + 2 + -2i = 0

Reorder the terms:
2 + -2i + -2iz + iz2 + -3z2 + z3 = 0

Solving
2 + -2i + -2iz + iz2 + -3z2 + z3 = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -2i + -2iz + iz2 + -3z2 + -2 + z3 = 0 + -2

Reorder the terms:
2 + -2 + -2i + -2iz + iz2 + -3z2 + z3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2i + -2iz + iz2 + -3z2 + z3 = 0 + -2
-2i + -2iz + iz2 + -3z2 + z3 = 0 + -2

Combine like terms: 0 + -2 = -2
-2i + -2iz + iz2 + -3z2 + z3 = -2

Add '3z2' to each side of the equation.
-2i + -2iz + iz2 + -3z2 + 3z2 + z3 = -2 + 3z2

Combine like terms: -3z2 + 3z2 = 0
-2i + -2iz + iz2 + 0 + z3 = -2 + 3z2
-2i + -2iz + iz2 + z3 = -2 + 3z2

Add '-1z3' to each side of the equation.
-2i + -2iz + iz2 + z3 + -1z3 = -2 + 3z2 + -1z3

Combine like terms: z3 + -1z3 = 0
-2i + -2iz + iz2 + 0 = -2 + 3z2 + -1z3
-2i + -2iz + iz2 = -2 + 3z2 + -1z3

Reorder the terms:
2 + -2i + -2iz + iz2 + -3z2 + z3 = -2 + 3z2 + -1z3 + 2 + -3z2 + z3

Reorder the terms:
2 + -2i + -2iz + iz2 + -3z2 + z3 = -2 + 2 + 3z2 + -3z2 + -1z3 + z3

Combine like terms: -2 + 2 = 0
2 + -2i + -2iz + iz2 + -3z2 + z3 = 0 + 3z2 + -3z2 + -1z3 + z3
2 + -2i + -2iz + iz2 + -3z2 + z3 = 3z2 + -3z2 + -1z3 + z3

Combine like terms: 3z2 + -3z2 = 0
2 + -2i + -2iz + iz2 + -3z2 + z3 = 0 + -1z3 + z3
2 + -2i + -2iz + iz2 + -3z2 + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
2 + -2i + -2iz + iz2 + -3z2 + z3 = 0

The solution to this equation could not be determined.

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