x^2+5x-11550=0

Solution for x^2+5x-11550=0 equation:

Simplifying
x2 + 5x + -11550 = 0

Reorder the terms:
-11550 + 5x + x2 = 0

Solving
-11550 + 5x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-110 + -1x)(105 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {-110, 105}