20x^2-125x^10=0

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Solution for 20x^2-125x^10=0 equation: 


Simplifying
20x2 + -125x10 = 0

Solving
20x2 + -125x10 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(4 + -25x8) = 0

Factor a difference between two squares.
5x2((2 + 5x4)(2 + -5x4)) = 0

Ignore the factor 5.

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 '(2 + 5x4)' equal to zero and attempt to solve:

Simplifying
2 + 5x4 = 0

Solving
2 + 5x4 = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5x4 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x4 = 0 + -2
5x4 = 0 + -2

Combine like terms: 0 + -2 = -2
5x4 = -2

Divide each side by '5'.
x4 = -0.4

Simplifying
x4 = -0.4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(2 + -5x4)' equal to zero and attempt to solve:

Simplifying
2 + -5x4 = 0

Solving
2 + -5x4 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x4 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x4 = 0 + -2
-5x4 = 0 + -2

Combine like terms: 0 + -2 = -2
-5x4 = -2

Divide each side by '-5'.
x4 = 0.4

Simplifying
x4 = 0.4

The solution to this equation could not be determined.

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

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