x^2-20x-9116=0

Solution for x^2-20x-9116=0 equation:

Simplifying
x2 + -20x + -9116 = 0

Reorder the terms:
-9116 + -20x + x2 = 0

Solving
-9116 + -20x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-86 + -1x)(106 + -1x) = 0

Subproblem 1
Set the factor '(-86 + -1x)' equal to zero and attempt to solve:

Simplifying
-86 + -1x = 0

Solving
-86 + -1x = 0

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

Add '86' to each side of the equation.
-86 + 86 + -1x = 0 + 86

Combine like terms: -86 + 86 = 0
0 + -1x = 0 + 86
-1x = 0 + 86

Combine like terms: 0 + 86 = 86
-1x = 86

Divide each side by '-1'.
x = -86

Simplifying
x = -86
Subproblem 2
Set the factor '(106 + -1x)' equal to zero and attempt to solve:

Simplifying
106 + -1x = 0

Solving
106 + -1x = 0

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

Add '-106' to each side of the equation.
106 + -106 + -1x = 0 + -106

Combine like terms: 106 + -106 = 0
0 + -1x = 0 + -106
-1x = 0 + -106

Combine like terms: 0 + -106 = -106
-1x = -106

Divide each side by '-1'.
x = 106

Simplifying
x = 106
Solution
x = {-86, 106}