x^2+10x-13200=0

Solution for x^2+10x-13200=0 equation:

Simplifying
x2 + 10x + -13200 = 0

Reorder the terms:
-13200 + 10x + x2 = 0

Solving
-13200 + 10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-120 + -1x)(110 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(110 + -1x)' equal to zero and attempt to solve:

Simplifying
110 + -1x = 0

Solving
110 + -1x = 0

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

Add '-110' to each side of the equation.
110 + -110 + -1x = 0 + -110

Combine like terms: 110 + -110 = 0
0 + -1x = 0 + -110
-1x = 0 + -110

Combine like terms: 0 + -110 = -110
-1x = -110

Divide each side by '-1'.
x = 110

Simplifying
x = 110
Solution
x = {-120, 110}