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

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


Simplifying
z3 + 3iz2 + -3z + -1i = 0

Reorder the terms:
-1i + 3iz2 + -3z + z3 = 0

Solving
-1i + 3iz2 + -3z + z3 = 0

Solving for variable 'i'.

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

Add '3z' to each side of the equation.
-1i + 3iz2 + -3z + 3z + z3 = 0 + 3z

Combine like terms: -3z + 3z = 0
-1i + 3iz2 + 0 + z3 = 0 + 3z
-1i + 3iz2 + z3 = 0 + 3z
Remove the zero:
-1i + 3iz2 + z3 = 3z

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

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

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

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

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

The solution to this equation could not be determined.

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