-12m^2q-4mq+21q=0

Solution for -12m^2q-4mq+21q=0 equation:

Simplifying
-12m2q + -4mq + 21q = 0

Reorder the terms:
-4mq + -12m2q + 21q = 0

Solving
-4mq + -12m2q + 21q = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(-4m + -12m2 + 21) = 0

Factor a trinomial.
q((-2m + -3)(6m + -7)) = 0

Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

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

Add '-1q' to each side of the equation.
q + -1q = 0 + -1q
Remove the zero:
0 = -1q

Simplifying
0 = -1q

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-2m + -3)' equal to zero and attempt to solve:

Simplifying
-2m + -3 = 0

Reorder the terms:
-3 + -2m = 0

Solving
-3 + -2m = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2m = 0 + 3
-2m = 0 + 3

Combine like terms: 0 + 3 = 3
-2m = 3

Divide each side by '-2'.
m = -1.5

Simplifying
m = -1.5
Subproblem 3
Set the factor '(6m + -7)' equal to zero and attempt to solve:

Simplifying
6m + -7 = 0

Reorder the terms:
-7 + 6m = 0

Solving
-7 + 6m = 0

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

Add '7' to each side of the equation.
-7 + 7 + 6m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 6m = 0 + 7
6m = 0 + 7

Combine like terms: 0 + 7 = 7
6m = 7

Divide each side by '6'.
m = 1.166666667

Simplifying
m = 1.166666667
Solution
m = {-1.5, 1.166666667}