0=20x^4+20x^3

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

Simplifying
0 = 20x4 + 20x3

Reorder the terms:
0 = 20x3 + 20x4

Solving
0 = 20x3 + 20x4

Solving for variable 'x'.
Remove the zero:
-20x3 + -20x4 = 20x3 + 20x4 + -20x3 + -20x4

Reorder the terms:
-20x3 + -20x4 = 20x3 + -20x3 + 20x4 + -20x4

Combine like terms: 20x3 + -20x3 = 0
-20x3 + -20x4 = 0 + 20x4 + -20x4
-20x3 + -20x4 = 20x4 + -20x4

Combine like terms: 20x4 + -20x4 = 0
-20x3 + -20x4 = 0

Factor out the Greatest Common Factor (GCF), '-20x3'.
-20x3(1 + 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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-1}