12q^2-188q-64=0

Solution for 12q^2-188q-64=0 equation:

Simplifying
12q2 + -188q + -64 = 0

Reorder the terms:
-64 + -188q + 12q2 = 0

Solving
-64 + -188q + 12q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-16 + -47q + 3q2) = 0

Factor a trinomial.
4((-1 + -3q)(16 + -1q)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -3q)' equal to zero and attempt to solve:

Simplifying
-1 + -3q = 0

Solving
-1 + -3q = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3q = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3q = 0 + 1
-3q = 0 + 1

Combine like terms: 0 + 1 = 1
-3q = 1

Divide each side by '-3'.
q = -0.3333333333

Simplifying
q = -0.3333333333
Subproblem 2
Set the factor '(16 + -1q)' equal to zero and attempt to solve:

Simplifying
16 + -1q = 0

Solving
16 + -1q = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1q = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1q = 0 + -16
-1q = 0 + -16

Combine like terms: 0 + -16 = -16
-1q = -16

Divide each side by '-1'.
q = 16

Simplifying
q = 16
Solution
q = {-0.3333333333, 16}