12q^2+50q-132=0

Solution for 12q^2+50q-132=0 equation:

Simplifying
12q2 + 50q + -132 = 0

Reorder the terms:
-132 + 50q + 12q2 = 0

Solving
-132 + 50q + 12q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-66 + 25q + 6q2) = 0

Factor a trinomial.
2((-6 + -1q)(11 + -6q)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -1q)' equal to zero and attempt to solve:

Simplifying
-6 + -1q = 0

Solving
-6 + -1q = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1q = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1q = 0 + 6
-1q = 0 + 6

Combine like terms: 0 + 6 = 6
-1q = 6

Divide each side by '-1'.
q = -6

Simplifying
q = -6
Subproblem 2
Set the factor '(11 + -6q)' equal to zero and attempt to solve:

Simplifying
11 + -6q = 0

Solving
11 + -6q = 0

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

Add '-11' to each side of the equation.
11 + -11 + -6q = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6q = 0 + -11
-6q = 0 + -11

Combine like terms: 0 + -11 = -11
-6q = -11

Divide each side by '-6'.
q = 1.833333333

Simplifying
q = 1.833333333
Solution
q = {-6, 1.833333333}