Z^3-(4i+4)z^2+(12i-2)z+8-4i=0

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Solution for Z^3-(4i+4)z^2+(12i-2)z+8-4i=0 equation:


Simplifying
Z3 + -1(4i + 4) * z2 + (12i + -2) * z + 8 + -4i = 0

Reorder the terms:
Z3 + -1(4 + 4i) * z2 + (12i + -2) * z + 8 + -4i = 0

Reorder the terms for easier multiplication:
Z3 + -1z2(4 + 4i) + (12i + -2) * z + 8 + -4i = 0
Z3 + (4 * -1z2 + 4i * -1z2) + (12i + -2) * z + 8 + -4i = 0

Reorder the terms:
Z3 + (-4iz2 + -4z2) + (12i + -2) * z + 8 + -4i = 0
Z3 + (-4iz2 + -4z2) + (12i + -2) * z + 8 + -4i = 0

Reorder the terms:
Z3 + -4iz2 + -4z2 + (-2 + 12i) * z + 8 + -4i = 0

Reorder the terms for easier multiplication:
Z3 + -4iz2 + -4z2 + z(-2 + 12i) + 8 + -4i = 0
Z3 + -4iz2 + -4z2 + (-2 * z + 12i * z) + 8 + -4i = 0

Reorder the terms:
Z3 + -4iz2 + -4z2 + (12iz + -2z) + 8 + -4i = 0
Z3 + -4iz2 + -4z2 + (12iz + -2z) + 8 + -4i = 0

Reorder the terms:
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 0

Solving
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 0

Solving for variable 'Z'.

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

Add '-8' to each side of the equation.
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -8 + -4z2 = 0 + -8

Reorder the terms:
8 + -8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 0 + -8
Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 0 + -8

Combine like terms: 0 + -8 = -8
Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = -8

Add '4i' to each side of the equation.
Z3 + -4i + 12iz + -4iz2 + -2z + 4i + -4z2 = -8 + 4i

Reorder the terms:
Z3 + -4i + 4i + 12iz + -4iz2 + -2z + -4z2 = -8 + 4i

Combine like terms: -4i + 4i = 0
Z3 + 0 + 12iz + -4iz2 + -2z + -4z2 = -8 + 4i
Z3 + 12iz + -4iz2 + -2z + -4z2 = -8 + 4i

Add '-12iz' to each side of the equation.
Z3 + 12iz + -4iz2 + -2z + -12iz + -4z2 = -8 + 4i + -12iz

Reorder the terms:
Z3 + 12iz + -12iz + -4iz2 + -2z + -4z2 = -8 + 4i + -12iz

Combine like terms: 12iz + -12iz = 0
Z3 + 0 + -4iz2 + -2z + -4z2 = -8 + 4i + -12iz
Z3 + -4iz2 + -2z + -4z2 = -8 + 4i + -12iz

Add '4iz2' to each side of the equation.
Z3 + -4iz2 + -2z + 4iz2 + -4z2 = -8 + 4i + -12iz + 4iz2

Reorder the terms:
Z3 + -4iz2 + 4iz2 + -2z + -4z2 = -8 + 4i + -12iz + 4iz2

Combine like terms: -4iz2 + 4iz2 = 0
Z3 + 0 + -2z + -4z2 = -8 + 4i + -12iz + 4iz2
Z3 + -2z + -4z2 = -8 + 4i + -12iz + 4iz2

Add '2z' to each side of the equation.
Z3 + -2z + 2z + -4z2 = -8 + 4i + -12iz + 4iz2 + 2z

Combine like terms: -2z + 2z = 0
Z3 + 0 + -4z2 = -8 + 4i + -12iz + 4iz2 + 2z
Z3 + -4z2 = -8 + 4i + -12iz + 4iz2 + 2z

Add '4z2' to each side of the equation.
Z3 + -4z2 + 4z2 = -8 + 4i + -12iz + 4iz2 + 2z + 4z2

Combine like terms: -4z2 + 4z2 = 0
Z3 + 0 = -8 + 4i + -12iz + 4iz2 + 2z + 4z2
Z3 = -8 + 4i + -12iz + 4iz2 + 2z + 4z2

Simplifying
Z3 = -8 + 4i + -12iz + 4iz2 + 2z + 4z2

Reorder the terms:
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = -8 + 4i + -12iz + 4iz2 + 2z + 4z2 + 8 + -4i + 12iz + -4iz2 + -2z + -4z2

Reorder the terms:
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = -8 + 8 + 4i + -4i + -12iz + 12iz + 4iz2 + -4iz2 + 2z + -2z + 4z2 + -4z2

Combine like terms: -8 + 8 = 0
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 0 + 4i + -4i + -12iz + 12iz + 4iz2 + -4iz2 + 2z + -2z + 4z2 + -4z2
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 4i + -4i + -12iz + 12iz + 4iz2 + -4iz2 + 2z + -2z + 4z2 + -4z2

Combine like terms: 4i + -4i = 0
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 0 + -12iz + 12iz + 4iz2 + -4iz2 + 2z + -2z + 4z2 + -4z2
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = -12iz + 12iz + 4iz2 + -4iz2 + 2z + -2z + 4z2 + -4z2

Combine like terms: -12iz + 12iz = 0
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 0 + 4iz2 + -4iz2 + 2z + -2z + 4z2 + -4z2
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 4iz2 + -4iz2 + 2z + -2z + 4z2 + -4z2

Combine like terms: 4iz2 + -4iz2 = 0
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 0 + 2z + -2z + 4z2 + -4z2
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 2z + -2z + 4z2 + -4z2

Combine like terms: 2z + -2z = 0
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 0 + 4z2 + -4z2
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 4z2 + -4z2

Combine like terms: 4z2 + -4z2 = 0
8 + Z3 + -4i + 12iz + -4iz2 + -2z + -4z2 = 0

The solution to this equation could not be determined.

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