If 2x2 + 5x - 12 = (2x - 3) (x + 4), which equation (s) should be solved to find

the roots of 2x2 + 5x - 12 = 0?

See below in bold.

Step-by-step explanation:

2x^2 + 5x - 12

= (2x - 3) (x + 4) = 0

Now when you multiply 2 items and the result is zero, either of them could be zero.

So the required equations are 2x - 3 = 0 and x + 4 = 0.