5z^4-z^3=0

Solution for 5z^4-z^3=0 equation:

Simplifying
5z4 + -1z3 = 0

Reorder the terms:
-1z3 + 5z4 = 0

Solving
-1z3 + 5z4 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z3'.
z3(-1 + 5z) = 0

Subproblem 1
Set the factor 'z3' equal to zero and attempt to solve:

Simplifying
z3 = 0

Solving
z3 = 0

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

Simplifying
z3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-1 + 5z)' equal to zero and attempt to solve:

Simplifying
-1 + 5z = 0

Solving
-1 + 5z = 0

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

Add '1' to each side of the equation.
-1 + 1 + 5z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5z = 0 + 1
5z = 0 + 1

Combine like terms: 0 + 1 = 1
5z = 1

Divide each side by '5'.
z = 0.2

Simplifying
z = 0.2
Solution
z = {0.2}