x^2+15x-8500=0

Solution for x^2+15x-8500=0 equation:

Simplifying
x2 + 15x + -8500 = 0

Reorder the terms:
-8500 + 15x + x2 = 0

Solving
-8500 + 15x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-100 + -1x)(85 + -1x) = 0

Subproblem 1
Set the factor '(-100 + -1x)' equal to zero and attempt to solve:

Simplifying
-100 + -1x = 0

Solving
-100 + -1x = 0

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

Add '100' to each side of the equation.
-100 + 100 + -1x = 0 + 100

Combine like terms: -100 + 100 = 0
0 + -1x = 0 + 100
-1x = 0 + 100

Combine like terms: 0 + 100 = 100
-1x = 100

Divide each side by '-1'.
x = -100

Simplifying
x = -100
Subproblem 2
Set the factor '(85 + -1x)' equal to zero and attempt to solve:

Simplifying
85 + -1x = 0

Solving
85 + -1x = 0

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

Add '-85' to each side of the equation.
85 + -85 + -1x = 0 + -85

Combine like terms: 85 + -85 = 0
0 + -1x = 0 + -85
-1x = 0 + -85

Combine like terms: 0 + -85 = -85
-1x = -85

Divide each side by '-1'.
x = 85

Simplifying
x = 85
Solution
x = {-100, 85}