Factor the trinomial by grouping.

6x^2 - 7x-20

(3x+4) (2x-5)

Step-by-step explanation:

You have 6x^2 - 7x-20, you add and take 8x so now you have

6x^2 - 7x + 8x - 8x - 20 now you take 6x^2 and the + 8x and factorize

6x^2 + 8x = 2x (3x + 4)

and you have - 7x - 8x-20 = - 15x - 20 factorize

-5 (3x + 4) add all up.

2x (3x + 4) - 5 (3x + 4) and you have

(3x+4) (2x-5)