144x^3-121x=0

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


Simplifying
144x3 + -121x = 0

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

Solving
-121x + 144x3 = 0

Solving for variable 'x'.

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

Factor a difference between two squares.
x((11 + 12x)(-11 + 12x)) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(11 + 12x)' equal to zero and attempt to solve: Simplifying 11 + 12x = 0 Solving 11 + 12x = 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 + 12x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = 0 + -11 12x = 0 + -11 Combine like terms: 0 + -11 = -11 12x = -11 Divide each side by '12'. x = -0.9166666667 Simplifying x = -0.9166666667

Subproblem 3

Set the factor '(-11 + 12x)' equal to zero and attempt to solve: Simplifying -11 + 12x = 0 Solving -11 + 12x = 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 + 12x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = 0 + 11 12x = 0 + 11 Combine like terms: 0 + 11 = 11 12x = 11 Divide each side by '12'. x = 0.9166666667 Simplifying x = 0.9166666667

Solution

x = {0, -0.9166666667, 0.9166666667}

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