z^3-12iz^2+16z+64i-8=0

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Solution for z^3-12iz^2+16z+64i-8=0 equation: 


Simplifying
z3 + -12iz2 + 16z + 64i + -8 = 0

Reorder the terms:
-8 + 64i + -12iz2 + 16z + z3 = 0

Solving
-8 + 64i + -12iz2 + 16z + z3 = 0

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + 64i + -12iz2 + 16z + 8 + z3 = 0 + 8

Reorder the terms:
-8 + 8 + 64i + -12iz2 + 16z + z3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 64i + -12iz2 + 16z + z3 = 0 + 8
64i + -12iz2 + 16z + z3 = 0 + 8

Combine like terms: 0 + 8 = 8
64i + -12iz2 + 16z + z3 = 8

Add '-16z' to each side of the equation.
64i + -12iz2 + 16z + -16z + z3 = 8 + -16z

Combine like terms: 16z + -16z = 0
64i + -12iz2 + 0 + z3 = 8 + -16z
64i + -12iz2 + z3 = 8 + -16z

Add '-1z3' to each side of the equation.
64i + -12iz2 + z3 + -1z3 = 8 + -16z + -1z3

Combine like terms: z3 + -1z3 = 0
64i + -12iz2 + 0 = 8 + -16z + -1z3
64i + -12iz2 = 8 + -16z + -1z3

Reorder the terms:
-8 + 64i + -12iz2 + 16z + z3 = 8 + -16z + -1z3 + -8 + 16z + z3

Reorder the terms:
-8 + 64i + -12iz2 + 16z + z3 = 8 + -8 + -16z + 16z + -1z3 + z3

Combine like terms: 8 + -8 = 0
-8 + 64i + -12iz2 + 16z + z3 = 0 + -16z + 16z + -1z3 + z3
-8 + 64i + -12iz2 + 16z + z3 = -16z + 16z + -1z3 + z3

Combine like terms: -16z + 16z = 0
-8 + 64i + -12iz2 + 16z + z3 = 0 + -1z3 + z3
-8 + 64i + -12iz2 + 16z + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
-8 + 64i + -12iz2 + 16z + z3 = 0

The solution to this equation could not be determined.

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