5g^5-80g^3=0

Solution for 5g^5-80g^3=0 equation:

Simplifying
5g5 + -80g3 = 0

Reorder the terms:
-80g3 + 5g5 = 0

Solving
-80g3 + 5g5 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '5g3'.
5g3(-16 + g2) = 0

Factor a difference between two squares.
5g3((4 + g)(-4 + g)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'g3' equal to zero and attempt to solve:

Simplifying
g3 = 0

Solving
g3 = 0

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

Simplifying
g3 = 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 '(4 + g)' equal to zero and attempt to solve:

Simplifying
4 + g = 0

Solving
4 + g = 0

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

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

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

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

Simplifying
g = -4
Subproblem 3
Set the factor '(-4 + g)' equal to zero and attempt to solve:

Simplifying
-4 + g = 0

Solving
-4 + g = 0

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

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

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

Combine like terms: 0 + 4 = 4
g = 4

Simplifying
g = 4
Solution
g = {-4, 4}