25x^5-121x^3=0

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Solution for 25x^5-121x^3=0 equation: 


Simplifying
25x5 + -121x3 = 0

Reorder the terms:
-121x3 + 25x5 = 0

Solving
-121x3 + 25x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-121 + 25x2) = 0

Factor a difference between two squares.
x3((11 + 5x)(-11 + 5x)) = 0


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 '(11 + 5x)' equal to zero and attempt to solve:

Simplifying
11 + 5x = 0

Solving
11 + 5x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 5x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 0 + -11
5x = 0 + -11

Combine like terms: 0 + -11 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

Subproblem 3
Set the factor '(-11 + 5x)' equal to zero and attempt to solve:

Simplifying
-11 + 5x = 0

Solving
-11 + 5x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 5x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 0 + 11
5x = 0 + 11

Combine like terms: 0 + 11 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2
Solution
x = {-2.2, 2.2}

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