80x^5=20x^2

Solution for 80x^5=20x^2 equation:

Simplifying
80x5 = 20x2

Solving
80x5 = 20x2

Solving for variable 'x'.

Reorder the terms:
-20x2 + 80x5 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
-20x2 + 80x5 = 0

Factor out the Greatest Common Factor (GCF), '20x2'.
20x2(-1 + 4x3) = 0

Ignore the factor 20.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-1 + 4x3)' equal to zero and attempt to solve:

Simplifying
-1 + 4x3 = 0

Solving
-1 + 4x3 = 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 + 4x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4x3 = 0 + 1
4x3 = 0 + 1

Combine like terms: 0 + 1 = 1
4x3 = 1

Divide each side by '4'.
x3 = 0.25

Simplifying
x3 = 0.25

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}