x^3-8x=-16x

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Solution for x^3-8x=-16x equation:


Simplifying
x3 + -8x = -16x

Reorder the terms:
-8x + x3 = -16x

Solving
-8x + x3 = -16x

Solving for variable 'x'.

Reorder the terms:
-8x + 16x + x3 = -16x + 16x

Combine like terms: -8x + 16x = 8x
8x + x3 = -16x + 16x

Combine like terms: -16x + 16x = 0
8x + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 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 '(8 + x2)' equal to zero and attempt to solve: Simplifying 8 + x2 = 0 Solving 8 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x2 = 0 + -8 x2 = 0 + -8 Combine like terms: 0 + -8 = -8 x2 = -8 Simplifying x2 = -8 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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