2x^3-216x=0

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Solution for 2x^3-216x=0 equation:


Simplifying
2x3 + -216x = 0

Reorder the terms:
-216x + 2x3 = 0

Solving
-216x + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-108 + x2) = 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 '(-108 + x2)' equal to zero and attempt to solve: Simplifying -108 + x2 = 0 Solving -108 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '108' to each side of the equation. -108 + 108 + x2 = 0 + 108 Combine like terms: -108 + 108 = 0 0 + x2 = 0 + 108 x2 = 0 + 108 Combine like terms: 0 + 108 = 108 x2 = 108 Simplifying x2 = 108 Take the square root of each side: x = {-10.392304845, 10.392304845}

Solution

x = {0, -10.392304845, 10.392304845}

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