x^3+16x=0

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Solution for x^3+16x=0 equation:


Simplifying
x3 + 16x = 0

Reorder the terms:
16x + x3 = 0

Solving
16x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(16 + 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 '(16 + x2)' equal to zero and attempt to solve: Simplifying 16 + x2 = 0 Solving 16 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x2 = 0 + -16 x2 = 0 + -16 Combine like terms: 0 + -16 = -16 x2 = -16 Simplifying x2 = -16 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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