x^6+27x=0

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Solution for x^6+27x=0 equation:


Simplifying
x6 + 27x = 0

Reorder the terms:
27x + x6 = 0

Solving
27x + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(27 + x5) = 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 '(27 + x5)' equal to zero and attempt to solve: Simplifying 27 + x5 = 0 Solving 27 + x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x5 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x5 = 0 + -27 x5 = 0 + -27 Combine like terms: 0 + -27 = -27 x5 = -27 Simplifying x5 = -27 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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