8x^7=x^5

Solution for 8x^7=x^5 equation:

Simplifying
8x7 = x5

Solving
8x7 = x5

Solving for variable 'x'.

Reorder the terms:
-1x5 + 8x7 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
-1x5 + 8x7 = 0

Factor out the Greatest Common Factor (GCF), 'x5'.
x5(-1 + 8x2) = 0

Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve:

Simplifying
x5 = 0

Solving
x5 = 0

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

Simplifying
x5 = 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 + 8x2)' equal to zero and attempt to solve:

Simplifying
-1 + 8x2 = 0

Solving
-1 + 8x2 = 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 + 8x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8x2 = 0 + 1
8x2 = 0 + 1

Combine like terms: 0 + 1 = 1
8x2 = 1

Divide each side by '8'.
x2 = 0.125

Simplifying
x2 = 0.125

Take the square root of each side:
x = {-0.353553391, 0.353553391}
Solution
x = {-0.353553391, 0.353553391}