x^8+6x^7=

Solution for x^8+6x^7= equation:

Simplifying
x8 + 6x7 = 0

Reorder the terms:
6x7 + x8 = 0

Solving
6x7 + x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x7'.
x7(6 + 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 '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

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

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

Simplifying
x = -6
Solution
x = {-6}