x^6-8x^5=x

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Solution for x^6-8x^5=x equation: 


Simplifying
x6 + -8x5 = x

Reorder the terms:
-8x5 + x6 = x

Solving
-8x5 + x6 = x

Solving for variable 'x'.

Reorder the terms:
-1x + -8x5 + x6 = x + -1x

Combine like terms: x + -1x = 0
-1x + -8x5 + x6 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + -8x4 + 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 '(-1 + -8x4 + x5)' equal to zero and attempt to solve:

Simplifying
-1 + -8x4 + x5 = 0

Solving
-1 + -8x4 + x5 = 0

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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