Verified answer

I am old school (emphasis on OLD) so put your seat belt on

and hang ON!

12x² - 5x - 2

same as

A - B - C

factor A

12 = 1,12 * 2,6 * 3,4

factor C

2 = 1,2

NOW

what combinations of the factors of A and C

will make a difference of 5

3,4 - YEP 2x4 and 1x3

so

(3x -2)(4x +1)

all the best

(4x+1)(3x-2)=0

12x^2-8x+3x-2=0

x= -1/4

x=2/3

(3x-2)(4x+1)