x^9-4x^8-60x^7=

Solution for x^9-4x^8-60x^7= equation:

Simplifying
x9 + -4x8 + -60x7 = 0

Reorder the terms:
-60x7 + -4x8 + x9 = 0

Solving
-60x7 + -4x8 + x9 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x7'.
x7(-60 + -4x + x2) = 0

Factor a trinomial.
x7((-6 + -1x)(10 + -1x)) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 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 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 3
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-6, 10}