x^6=-8x^3

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Solution for x^6=-8x^3 equation:


Simplifying
x6 = -8x3

Solving
x6 = -8x3

Solving for variable 'x'.

Reorder the terms:
8x3 + x6 = -8x3 + 8x3

Combine like terms: -8x3 + 8x3 = 0
8x3 + x6 = 0

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(8 + x3) = 0

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(8 + x3)' equal to zero and attempt to solve: Simplifying 8 + x3 = 0 Solving 8 + x3 = 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 + x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x3 = 0 + -8 x3 = 0 + -8 Combine like terms: 0 + -8 = -8 x3 = -8 Simplifying x3 = -8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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