x^3=-2x

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Solution for x^3=-2x equation:


Simplifying
x3 = -2x

Solving
x3 = -2x

Solving for variable 'x'.

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

Combine like terms: -2x + 2x = 0
2x + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + x2) = 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 '(2 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Simplifying x2 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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