242x^3-18x=0

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Solution for 242x^3-18x=0 equation:


Simplifying
242x3 + -18x = 0

Reorder the terms:
-18x + 242x3 = 0

Solving
-18x + 242x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-9 + 121x2) = 0

Factor a difference between two squares.
2x((3 + 11x)(-3 + 11x)) = 0

Ignore the factor 2.

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 '(3 + 11x)' equal to zero and attempt to solve: Simplifying 3 + 11x = 0 Solving 3 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 11x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 11x = 0 + -3 11x = 0 + -3 Combine like terms: 0 + -3 = -3 11x = -3 Divide each side by '11'. x = -0.2727272727 Simplifying x = -0.2727272727

Subproblem 3

Set the factor '(-3 + 11x)' equal to zero and attempt to solve: Simplifying -3 + 11x = 0 Solving -3 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 11x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = 0 + 3 11x = 0 + 3 Combine like terms: 0 + 3 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727

Solution

x = {0, -0.2727272727, 0.2727272727}

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