0=x^2-15x-9256

Solution for 0=x^2-15x-9256 equation:

Simplifying
0 = x2 + -15x + -9256

Reorder the terms:
0 = -9256 + -15x + x2

Solving
0 = -9256 + -15x + x2

Solving for variable 'x'.

Combine like terms: 0 + 9256 = 9256
9256 + 15x + -1x2 = -9256 + -15x + x2 + 9256 + 15x + -1x2

Reorder the terms:
9256 + 15x + -1x2 = -9256 + 9256 + -15x + 15x + x2 + -1x2

Combine like terms: -9256 + 9256 = 0
9256 + 15x + -1x2 = 0 + -15x + 15x + x2 + -1x2
9256 + 15x + -1x2 = -15x + 15x + x2 + -1x2

Combine like terms: -15x + 15x = 0
9256 + 15x + -1x2 = 0 + x2 + -1x2
9256 + 15x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9256 + 15x + -1x2 = 0

Factor a trinomial.
(104 + -1x)(89 + x) = 0

Subproblem 1
Set the factor '(104 + -1x)' equal to zero and attempt to solve:

Simplifying
104 + -1x = 0

Solving
104 + -1x = 0

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

Add '-104' to each side of the equation.
104 + -104 + -1x = 0 + -104

Combine like terms: 104 + -104 = 0
0 + -1x = 0 + -104
-1x = 0 + -104

Combine like terms: 0 + -104 = -104
-1x = -104

Divide each side by '-1'.
x = 104

Simplifying
x = 104
Subproblem 2
Set the factor '(89 + x)' equal to zero and attempt to solve:

Simplifying
89 + x = 0

Solving
89 + x = 0

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

Add '-89' to each side of the equation.
89 + -89 + x = 0 + -89

Combine like terms: 89 + -89 = 0
0 + x = 0 + -89
x = 0 + -89

Combine like terms: 0 + -89 = -89
x = -89

Simplifying
x = -89
Solution
x = {104, -89}