x^7-7x=0

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Solution for x^7-7x=0 equation: 


Simplifying
x7 + -7x = 0

Reorder the terms:
-7x + x7 = 0

Solving
-7x + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + x6) = 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 '(-7 + x6)' equal to zero and attempt to solve:

Simplifying
-7 + x6 = 0

Solving
-7 + x6 = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + x6 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + x6 = 0 + 7
x6 = 0 + 7

Combine like terms: 0 + 7 = 7
x6 = 7

Simplifying
x6 = 7

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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