x^8=x^7

Solution for x^8=x^7 equation:

Simplifying
x8 = x7

Solving
x8 = x7

Solving for variable 'x'.

Reorder the terms:
-1x7 + x8 = x7 + -1x7

Combine like terms: x7 + -1x7 = 0
-1x7 + x8 = 0

Factor out the Greatest Common Factor (GCF), 'x7'.
x7(-1 + x) = 0

Subproblem 1
Set the factor 'x7' equal to zero and attempt to solve:

Simplifying
x7 = 0

Solving
x7 = 0

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

Simplifying
x7 = 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 '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Simplifying
x = 1
Solution
x = {1}