121x^5-144x^3=0

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Solution for 121x^5-144x^3=0 equation:


Simplifying
121x5 + -144x3 = 0

Reorder the terms:
-144x3 + 121x5 = 0

Solving
-144x3 + 121x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-144 + 121x2) = 0

Factor a difference between two squares.
x3((12 + 11x)(-12 + 11x)) = 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 '(12 + 11x)' equal to zero and attempt to solve: Simplifying 12 + 11x = 0 Solving 12 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 11x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 0 + -12 11x = 0 + -12 Combine like terms: 0 + -12 = -12 11x = -12 Divide each side by '11'. x = -1.090909091 Simplifying x = -1.090909091

Subproblem 3

Set the factor '(-12 + 11x)' equal to zero and attempt to solve: Simplifying -12 + 11x = 0 Solving -12 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 11x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 0 + 12 11x = 0 + 12 Combine like terms: 0 + 12 = 12 11x = 12 Divide each side by '11'. x = 1.090909091 Simplifying x = 1.090909091

Solution

x = {-1.090909091, 1.090909091}

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