x^6=6x

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Solution for x^6=6x equation:


Simplifying
x6 = 6x

Solving
x6 = 6x

Solving for variable 'x'.

Reorder the terms:
-6x + x6 = 6x + -6x

Combine like terms: 6x + -6x = 0
-6x + x6 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + 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 '(-6 + x5)' equal to zero and attempt to solve: Simplifying -6 + x5 = 0 Solving -6 + x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x5 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x5 = 0 + 6 x5 = 0 + 6 Combine like terms: 0 + 6 = 6 x5 = 6 Simplifying x5 = 6 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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