Question

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

Answer 1

Answer:

x = $-\frac{4}{3} , 3$

Step-by-step 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 $-\frac{4}{3}$ 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 = $-\frac{4}{3}$ and 3.  Hope this made sense, not sure if I explained it that well.