20x^4+120x^3=0

Solution for 20x^4+120x^3=0 equation:

Simplifying
20x4 + 120x3 = 0

Reorder the terms:
120x3 + 20x4 = 0

Solving
120x3 + 20x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20x3'.
20x3(6 + x) = 0

Ignore the factor 20.
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 '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-6}