x^9-16x^8-36x^7=0

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Solution for x^9-16x^8-36x^7=0 equation: 


Simplifying
x9 + -16x8 + -36x7 = 0

Reorder the terms:
-36x7 + -16x8 + x9 = 0

Solving
-36x7 + -16x8 + x9 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x7'.
x7(-36 + -16x + x2) = 0

Factor a trinomial.
x7((-2 + -1x)(18 + -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 '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 3
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {-2, 18}

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