(4x^2+96x-1188)=0

Solution for (4x^2+96x-1188)=0 equation:

Simplifying
(4x2 + 96x + -1188) = 0

Reorder the terms:
(-1188 + 96x + 4x2) = 0

Remove parenthesis around (-1188 + 96x + 4x2)
-1188 + 96x + 4x2 = 0

Solving
-1188 + 96x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-297 + 24x + x2) = 0

Factor a trinomial.
4((-33 + -1x)(9 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-33 + -1x)' equal to zero and attempt to solve:

Simplifying
-33 + -1x = 0

Solving
-33 + -1x = 0

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

Add '33' to each side of the equation.
-33 + 33 + -1x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -1x = 0 + 33
-1x = 0 + 33

Combine like terms: 0 + 33 = 33
-1x = 33

Divide each side by '-1'.
x = -33

Simplifying
x = -33
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-33, 9}