2x^2 + 5x - 12 solve this expression

x=3/2,  x=-4

Step-by-step explanation:

2x^2 + 5x - 12

First lets see if we can factor this

(2x    ) ( x      )

-12 = -1*12     1*-12

    -  2*6        2 * -12

    -  3*4       3 * -4

2 * one of these pairs - the other pair = +5  

2*4 -3 = 5

Put the -3 in the first spot and the 4 in the second spot

(2x-3)  ( x+4)

Using the zero product property

2x-3 =0     x+4=0

2x=3             x=-4

x = 3/2