x^5-80*x=0

Solution for x^5-80*x=0 equation:

Simplifying
x5 + -80x = 0

Reorder the terms:
-80x + x5 = 0

Solving
-80x + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-80 + x4) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-80 + x4)' equal to zero and attempt to solve:

Simplifying
-80 + x4 = 0

Solving
-80 + x4 = 0

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

Add '80' to each side of the equation.
-80 + 80 + x4 = 0 + 80

Combine like terms: -80 + 80 = 0
0 + x4 = 0 + 80
x4 = 0 + 80

Combine like terms: 0 + 80 = 80
x4 = 80

Simplifying
x4 = 80

The solution to this equation could not be determined.

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