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