x^2+12x-6525=0

Solution for x^2+12x-6525=0 equation:

Simplifying
x2 + 12x + -6525 = 0

Reorder the terms:
-6525 + 12x + x2 = 0

Solving
-6525 + 12x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-87 + -1x)(75 + -1x) = 0

Subproblem 1
Set the factor '(-87 + -1x)' equal to zero and attempt to solve:

Simplifying
-87 + -1x = 0

Solving
-87 + -1x = 0

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

Add '87' to each side of the equation.
-87 + 87 + -1x = 0 + 87

Combine like terms: -87 + 87 = 0
0 + -1x = 0 + 87
-1x = 0 + 87

Combine like terms: 0 + 87 = 87
-1x = 87

Divide each side by '-1'.
x = -87

Simplifying
x = -87
Subproblem 2
Set the factor '(75 + -1x)' equal to zero and attempt to solve:

Simplifying
75 + -1x = 0

Solving
75 + -1x = 0

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

Add '-75' to each side of the equation.
75 + -75 + -1x = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -1x = 0 + -75
-1x = 0 + -75

Combine like terms: 0 + -75 = -75
-1x = -75

Divide each side by '-1'.
x = 75

Simplifying
x = 75
Solution
x = {-87, 75}