x^2-15x-12600=0

Solution for x^2-15x-12600=0 equation:

Simplifying
x2 + -15x + -12600 = 0

Reorder the terms:
-12600 + -15x + x2 = 0

Solving
-12600 + -15x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-105 + -1x)(120 + -1x) = 0

Subproblem 1
Set the factor '(-105 + -1x)' equal to zero and attempt to solve:

Simplifying
-105 + -1x = 0

Solving
-105 + -1x = 0

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

Add '105' to each side of the equation.
-105 + 105 + -1x = 0 + 105

Combine like terms: -105 + 105 = 0
0 + -1x = 0 + 105
-1x = 0 + 105

Combine like terms: 0 + 105 = 105
-1x = 105

Divide each side by '-1'.
x = -105

Simplifying
x = -105
Subproblem 2
Set the factor '(120 + -1x)' equal to zero and attempt to solve:

Simplifying
120 + -1x = 0

Solving
120 + -1x = 0

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

Add '-120' to each side of the equation.
120 + -120 + -1x = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -1x = 0 + -120
-1x = 0 + -120

Combine like terms: 0 + -120 = -120
-1x = -120

Divide each side by '-1'.
x = 120

Simplifying
x = 120
Solution
x = {-105, 120}