z^4-2z=0

Solution for z^4-2z=0 equation:

Simplifying
z4 + -2z = 0

Reorder the terms:
-2z + z4 = 0

Solving
-2z + z4 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-2 + 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 '(-2 + z3)' equal to zero and attempt to solve:

Simplifying
-2 + z3 = 0

Solving
-2 + z3 = 0

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

Add '2' to each side of the equation.
-2 + 2 + z3 = 0 + 2

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

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

Simplifying
z3 = 2

The solution to this equation could not be determined.

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