x^5=125x^2

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Solution for x^5=125x^2 equation: 


Simplifying
x5 = 125x2

Solving
x5 = 125x2

Solving for variable 'x'.

Reorder the terms:
-125x2 + x5 = 125x2 + -125x2

Combine like terms: 125x2 + -125x2 = 0
-125x2 + x5 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-125 + x3) = 0


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 '(-125 + x3)' equal to zero and attempt to solve:

Simplifying
-125 + x3 = 0

Solving
-125 + x3 = 0

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

Add '125' to each side of the equation.
-125 + 125 + x3 = 0 + 125

Combine like terms: -125 + 125 = 0
0 + x3 = 0 + 125
x3 = 0 + 125

Combine like terms: 0 + 125 = 125
x3 = 125

Simplifying
x3 = 125

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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