=05x^5-80x^3

Solution for =05x^5-80x^3 equation:

Simplifying
0 = 5x5 + -80x3

Reorder the terms:
0 = -80x3 + 5x5

Solving
0 = -80x3 + 5x5

Solving for variable 'x'.
Remove the zero:
80x3 + -5x5 = -80x3 + 5x5 + 80x3 + -5x5

Reorder the terms:
80x3 + -5x5 = -80x3 + 80x3 + 5x5 + -5x5

Combine like terms: -80x3 + 80x3 = 0
80x3 + -5x5 = 0 + 5x5 + -5x5
80x3 + -5x5 = 5x5 + -5x5

Combine like terms: 5x5 + -5x5 = 0
80x3 + -5x5 = 0

Factor out the Greatest Common Factor (GCF), '5x3'.
5x3(16 + -1x2) = 0

Factor a difference between two squares.
5x3((4 + x)(4 + -1x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 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 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

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

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

Simplifying
x = -4
Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

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