6(x-20)x^4=0

Solution for 6(x-20)x^4=0 equation:

Simplifying
6(x + -20) * x4 = 0

Reorder the terms:
6(-20 + x) * x4 = 0

Reorder the terms for easier multiplication:
6x4(-20 + x) = 0
(-20 * 6x4 + x * 6x4) = 0
(-120x4 + 6x5) = 0

Solving
-120x4 + 6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x4'.
6x4(-20 + x) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve:

Simplifying
x4 = 0

Solving
x4 = 0

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

Simplifying
x4 = 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 '(-20 + x)' equal to zero and attempt to solve:

Simplifying
-20 + x = 0

Solving
-20 + x = 0

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

Add '20' to each side of the equation.
-20 + 20 + x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + x = 0 + 20
x = 0 + 20

Combine like terms: 0 + 20 = 20
x = 20

Simplifying
x = 20
Solution
x = {20}