z^3=-z^3+3iz^2+3z-i

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


Simplifying
z3 = -1z3 + 3iz2 + 3z + -1i

Reorder the terms:
z3 = -1i + 3iz2 + 3z + -1z3

Solving
z3 = -1i + 3iz2 + 3z + -1z3

Solving for variable 'z'.

Reorder the terms:
i + -3iz2 + -3z + z3 + z3 = -1i + 3iz2 + 3z + -1z3 + i + -3iz2 + -3z + z3

Combine like terms: z3 + z3 = 2z3
i + -3iz2 + -3z + 2z3 = -1i + 3iz2 + 3z + -1z3 + i + -3iz2 + -3z + z3

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

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

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

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

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

The solution to this equation could not be determined.

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