2x25x30 Solve by factoringSolutionHere first term last term

2x^2-5x-3=0
Solve by factoring

Here first term * last term = 2* -3 =-6

and the middle term = -5.

So we have to find two numbers whose product is -6 and whose sum is -5.

Two such numbers are -6 and 1 (because -6 * 1 = -6 and -6+1=-5).

So,

2x² - 5x - 3=0

2x² - 6x + x - 3 = 0

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

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

x - 3 =0; 2x + 1 =0

x =3; x= -1/2