x^2+76x-11552=0

Solution for x^2+76x-11552=0 equation:

Simplifying
x2 + 76x + -11552 = 0

Reorder the terms:
-11552 + 76x + x2 = 0

Solving
-11552 + 76x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-152 + -1x)(76 + -1x) = 0

Subproblem 1
Set the factor '(-152 + -1x)' equal to zero and attempt to solve:

Simplifying
-152 + -1x = 0

Solving
-152 + -1x = 0

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

Add '152' to each side of the equation.
-152 + 152 + -1x = 0 + 152

Combine like terms: -152 + 152 = 0
0 + -1x = 0 + 152
-1x = 0 + 152

Combine like terms: 0 + 152 = 152
-1x = 152

Divide each side by '-1'.
x = -152

Simplifying
x = -152
Subproblem 2
Set the factor '(76 + -1x)' equal to zero and attempt to solve:

Simplifying
76 + -1x = 0

Solving
76 + -1x = 0

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

Add '-76' to each side of the equation.
76 + -76 + -1x = 0 + -76

Combine like terms: 76 + -76 = 0
0 + -1x = 0 + -76
-1x = 0 + -76

Combine like terms: 0 + -76 = -76
-1x = -76

Divide each side by '-1'.
x = 76

Simplifying
x = 76
Solution
x = {-152, 76}