Im trying here........
(4x-1)(3x+2)=0
My answer came out as....
12x^2 + 5x - 2 is this correct?
Moo answered your two possible questions. Instead of multiplying it out and using the quadratic formula, it is much easier to solve for each term of the product.
If you let $\displaystyle a=3x+2=0$, then it doesn't matter what $\displaystyle 4x-1$ is because the entire product will be zero. This enables you to solve each term of the product for zero giving you two solutions. Two answers should make sense to you because when the equation is a quadratic (of degree two).