I understand problems like this but with just a variable in the first one. Here, it has 12. This throws me off.

factor 12m^2 + 25m + 12 = 0.

3 answers

If you can't quickly factor the equation, it is generally easier to just use the quadratic equation. As you do more and more, you will probably remember how you factored them previously.
m=-3/4
m=-4/3

easier to figure out the roots using the quadratic formula.
{-b+\-[sqrt(b2-4ac)]}/2a
(I hope you are aware of it). Before going and manually solving the eqn, its better to check if b2-4ac is positive or not.(if -ve, equation has imaginary roots).
divide the expression by 12 first and then use the formula..