2x^3-384x=0

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Solution for 2x^3-384x=0 equation:


Simplifying
2x3 + -384x = 0

Reorder the terms:
-384x + 2x3 = 0

Solving
-384x + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-192 + 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 '(-192 + x2)' equal to zero and attempt to solve: Simplifying -192 + x2 = 0 Solving -192 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '192' to each side of the equation. -192 + 192 + x2 = 0 + 192 Combine like terms: -192 + 192 = 0 0 + x2 = 0 + 192 x2 = 0 + 192 Combine like terms: 0 + 192 = 192 x2 = 192 Simplifying x2 = 192 Take the square root of each side: x = {-13.856406461, 13.856406461}

Solution

x = {0, -13.856406461, 13.856406461}

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