Z^3+(-3+i)z^2+(4-4i)z-4+4i=0

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Solution for Z^3+(-3+i)z^2+(4-4i)z-4+4i=0 equation: 


Simplifying
Z3 + (-3 + i) * z2 + (4 + -4i) * z + -4 + 4i = 0

Reorder the terms for easier multiplication:
Z3 + z2(-3 + i) + (4 + -4i) * z + -4 + 4i = 0
Z3 + (-3 * z2 + i * z2) + (4 + -4i) * z + -4 + 4i = 0

Reorder the terms:
Z3 + (iz2 + -3z2) + (4 + -4i) * z + -4 + 4i = 0
Z3 + (iz2 + -3z2) + (4 + -4i) * z + -4 + 4i = 0

Reorder the terms for easier multiplication:
Z3 + iz2 + -3z2 + z(4 + -4i) + -4 + 4i = 0
Z3 + iz2 + -3z2 + (4 * z + -4i * z) + -4 + 4i = 0

Reorder the terms:
Z3 + iz2 + -3z2 + (-4iz + 4z) + -4 + 4i = 0
Z3 + iz2 + -3z2 + (-4iz + 4z) + -4 + 4i = 0

Reorder the terms:
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 0

Solving
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 0

Solving for variable 'Z'.

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

Add '4' to each side of the equation.
-4 + Z3 + 4i + -4iz + iz2 + 4z + 4 + -3z2 = 0 + 4

Reorder the terms:
-4 + 4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 0 + 4
Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 0 + 4

Combine like terms: 0 + 4 = 4
Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 4

Add '-4i' to each side of the equation.
Z3 + 4i + -4iz + iz2 + 4z + -4i + -3z2 = 4 + -4i

Reorder the terms:
Z3 + 4i + -4i + -4iz + iz2 + 4z + -3z2 = 4 + -4i

Combine like terms: 4i + -4i = 0
Z3 + 0 + -4iz + iz2 + 4z + -3z2 = 4 + -4i
Z3 + -4iz + iz2 + 4z + -3z2 = 4 + -4i

Add '4iz' to each side of the equation.
Z3 + -4iz + iz2 + 4z + 4iz + -3z2 = 4 + -4i + 4iz

Reorder the terms:
Z3 + -4iz + 4iz + iz2 + 4z + -3z2 = 4 + -4i + 4iz

Combine like terms: -4iz + 4iz = 0
Z3 + 0 + iz2 + 4z + -3z2 = 4 + -4i + 4iz
Z3 + iz2 + 4z + -3z2 = 4 + -4i + 4iz

Add '-1iz2' to each side of the equation.
Z3 + iz2 + 4z + -1iz2 + -3z2 = 4 + -4i + 4iz + -1iz2

Reorder the terms:
Z3 + iz2 + -1iz2 + 4z + -3z2 = 4 + -4i + 4iz + -1iz2

Combine like terms: iz2 + -1iz2 = 0
Z3 + 0 + 4z + -3z2 = 4 + -4i + 4iz + -1iz2
Z3 + 4z + -3z2 = 4 + -4i + 4iz + -1iz2

Add '-4z' to each side of the equation.
Z3 + 4z + -4z + -3z2 = 4 + -4i + 4iz + -1iz2 + -4z

Combine like terms: 4z + -4z = 0
Z3 + 0 + -3z2 = 4 + -4i + 4iz + -1iz2 + -4z
Z3 + -3z2 = 4 + -4i + 4iz + -1iz2 + -4z

Add '3z2' to each side of the equation.
Z3 + -3z2 + 3z2 = 4 + -4i + 4iz + -1iz2 + -4z + 3z2

Combine like terms: -3z2 + 3z2 = 0
Z3 + 0 = 4 + -4i + 4iz + -1iz2 + -4z + 3z2
Z3 = 4 + -4i + 4iz + -1iz2 + -4z + 3z2

Simplifying
Z3 = 4 + -4i + 4iz + -1iz2 + -4z + 3z2

Reorder the terms:
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 4 + -4i + 4iz + -1iz2 + -4z + 3z2 + -4 + 4i + -4iz + iz2 + 4z + -3z2

Reorder the terms:
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 4 + -4 + -4i + 4i + 4iz + -4iz + -1iz2 + iz2 + -4z + 4z + 3z2 + -3z2

Combine like terms: 4 + -4 = 0
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 0 + -4i + 4i + 4iz + -4iz + -1iz2 + iz2 + -4z + 4z + 3z2 + -3z2
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = -4i + 4i + 4iz + -4iz + -1iz2 + iz2 + -4z + 4z + 3z2 + -3z2

Combine like terms: -4i + 4i = 0
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 0 + 4iz + -4iz + -1iz2 + iz2 + -4z + 4z + 3z2 + -3z2
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 4iz + -4iz + -1iz2 + iz2 + -4z + 4z + 3z2 + -3z2

Combine like terms: 4iz + -4iz = 0
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 0 + -1iz2 + iz2 + -4z + 4z + 3z2 + -3z2
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = -1iz2 + iz2 + -4z + 4z + 3z2 + -3z2

Combine like terms: -1iz2 + iz2 = 0
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 0 + -4z + 4z + 3z2 + -3z2
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = -4z + 4z + 3z2 + -3z2

Combine like terms: -4z + 4z = 0
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 0 + 3z2 + -3z2
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 3z2 + -3z2

Combine like terms: 3z2 + -3z2 = 0
-4 + Z3 + 4i + -4iz + iz2 + 4z + -3z2 = 0

The solution to this equation could not be determined.

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