(-6x^8)(x^2+x)=

Solution for (-6x^8)(x^2+x)= equation:

Simplifying
(-6x8)(x2 + x) = 0

Remove parenthesis around (-6x8)
-6x8(x2 + x) = 0

Reorder the terms:
-6x8(x + x2) = 0
(x * -6x8 + x2 * -6x8) = 0
(-6x9 + -6x10) = 0

Solving
-6x9 + -6x10 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-6x9'.
-6x9(1 + x) = 0

Ignore the factor -6.
Subproblem 1
Set the factor 'x9' equal to zero and attempt to solve:

Simplifying
x9 = 0

Solving
x9 = 0

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

Simplifying
x9 = 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}