z^4-z^3+27iz-27i=0

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Solution for z^4-z^3+27iz-27i=0 equation:


Simplifying
z4 + -1z3 + 27iz + -27i = 0

Reorder the terms:
-27i + 27iz + -1z3 + z4 = 0

Solving
-27i + 27iz + -1z3 + z4 = 0

Solving for variable 'i'.

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

Add 'z3' to each side of the equation.
-27i + 27iz + -1z3 + z3 + z4 = 0 + z3

Combine like terms: -1z3 + z3 = 0
-27i + 27iz + 0 + z4 = 0 + z3
-27i + 27iz + z4 = 0 + z3
Remove the zero:
-27i + 27iz + z4 = z3

Add '-1z4' to each side of the equation.
-27i + 27iz + z4 + -1z4 = z3 + -1z4

Combine like terms: z4 + -1z4 = 0
-27i + 27iz + 0 = z3 + -1z4
-27i + 27iz = z3 + -1z4

Reorder the terms:
-27i + 27iz + -1z3 + z4 = z3 + -1z3 + -1z4 + z4

Combine like terms: z3 + -1z3 = 0
-27i + 27iz + -1z3 + z4 = 0 + -1z4 + z4
-27i + 27iz + -1z3 + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
-27i + 27iz + -1z3 + z4 = 0

The solution to this equation could not be determined.

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