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.
(-105 + -1x)(115 + -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 '(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
Solution
x = {-105, 115}