z^3=-2iz

Solution for z^3=-2iz equation:

Simplifying
z3 = -2iz

Solving
z3 = -2iz

Solving for variable 'z'.

Reorder the terms:
2iz + z3 = -2iz + 2iz

Combine like terms: -2iz + 2iz = 0
2iz + z3 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(2i + z2) = 0

Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0
Subproblem 2
Set the factor '(2i + z2)' equal to zero and attempt to solve:

Simplifying
2i + z2 = 0

Solving
2i + z2 = 0

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

Add '-2i' to each side of the equation.
2i + -2i + z2 = 0 + -2i

Combine like terms: 2i + -2i = 0
0 + z2 = 0 + -2i
z2 = 0 + -2i
Remove the zero:
z2 = -2i

Simplifying
z2 = -2i

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
z = {0}