5h^5-80h=0

Solution for 5h^5-80h=0 equation:

Simplifying
5h5 + -80h = 0

Reorder the terms:
-80h + 5h5 = 0

Solving
-80h + 5h5 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5h'.
5h(-16 + h4) = 0

Factor a difference between two squares.
5h((4 + h2)(-4 + h2)) = 0

Factor a difference between two squares.
5h((4 + h2)((2 + h)(-2 + h))) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0
Subproblem 2
Set the factor '(4 + h2)' equal to zero and attempt to solve:

Simplifying
4 + h2 = 0

Solving
4 + h2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + h2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + h2 = 0 + -4
h2 = 0 + -4

Combine like terms: 0 + -4 = -4
h2 = -4

Simplifying
h2 = -4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(2 + h)' equal to zero and attempt to solve:

Simplifying
2 + h = 0

Solving
2 + h = 0

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

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

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

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

Simplifying
h = -2
Subproblem 4
Set the factor '(-2 + h)' equal to zero and attempt to solve:

Simplifying
-2 + h = 0

Solving
-2 + h = 0

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

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

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

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

Simplifying
h = 2
Solution
h = {0, -2, 2}