x^2-10x-9191=0

Solution for x^2-10x-9191=0 equation:

Simplifying
x2 + -10x + -9191 = 0

Reorder the terms:
-9191 + -10x + x2 = 0

Solving
-9191 + -10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-91 + -1x)(101 + -1x) = 0

Subproblem 1
Set the factor '(-91 + -1x)' equal to zero and attempt to solve:

Simplifying
-91 + -1x = 0

Solving
-91 + -1x = 0

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

Add '91' to each side of the equation.
-91 + 91 + -1x = 0 + 91

Combine like terms: -91 + 91 = 0
0 + -1x = 0 + 91
-1x = 0 + 91

Combine like terms: 0 + 91 = 91
-1x = 91

Divide each side by '-1'.
x = -91

Simplifying
x = -91
Subproblem 2
Set the factor '(101 + -1x)' equal to zero and attempt to solve:

Simplifying
101 + -1x = 0

Solving
101 + -1x = 0

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

Add '-101' to each side of the equation.
101 + -101 + -1x = 0 + -101

Combine like terms: 101 + -101 = 0
0 + -1x = 0 + -101
-1x = 0 + -101

Combine like terms: 0 + -101 = -101
-1x = -101

Divide each side by '-1'.
x = 101

Simplifying
x = 101
Solution
x = {-91, 101}