z^4=iz

Solution for z^4=iz equation:

Simplifying
z4 = iz

Solving
z4 = iz

Solving for variable 'z'.

Reorder the terms:
-1iz + z4 = iz + -1iz

Combine like terms: iz + -1iz = 0
-1iz + z4 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(-1i + z3) = 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 '(-1i + z3)' equal to zero and attempt to solve:

Simplifying
-1i + z3 = 0

Solving
-1i + z3 = 0

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

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

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

Simplifying
z3 = i

The solution to this equation could not be determined.

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