x^2+10x-12075=0

Solution for x^2+10x-12075=0 equation:

Simplifying
x2 + 10x + -12075 = 0

Reorder the terms:
-12075 + 10x + x2 = 0

Solving
-12075 + 10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-115 + -1x)(105 + -1x) = 0

Subproblem 1
Set the factor '(-115 + -1x)' equal to zero and attempt to solve:

Simplifying
-115 + -1x = 0

Solving
-115 + -1x = 0

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

Add '115' to each side of the equation.
-115 + 115 + -1x = 0 + 115

Combine like terms: -115 + 115 = 0
0 + -1x = 0 + 115
-1x = 0 + 115

Combine like terms: 0 + 115 = 115
-1x = 115

Divide each side by '-1'.
x = -115

Simplifying
x = -115
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 = {-115, 105}