Find the roots of the following quadratic equations by factorisation method.

Given,


2x2 - 5x – 3 = 0


By splitting the middle term,


2x2 - 6x + x – 3 = 0


Taking common in the expression,


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


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


2x + 1 = 0 and x – 3 = 0


and


2