Question

Solve by factoring 3x squared -5x-12=0

Answer 1

x =
`-(4)/(3) , 3`

Explanation:

We can factor
`3x^(2) -5x-12` into two factors like below. (Notice how they can't be simplified any further.)

(3x + 4) (x - 3)

Now we need to find out what value of x would satisfy the equation, or make the problem equal to 0. If we multiply
`-(4)/(3)` by 3, and add it to 4, then that equals 0. So, that must be one of the values of x. Next, if we replace x with 3 in the next factor, then it is 3-3, which equals 0 as well. So, that must be a solution as well.

This brings us to our solution of x =
`-(4)/(3)` and 3. Hope this made sense, not sure if I explained it that well.