The given quadratic equation is2x2 + 5x – 3 = 0 Putting a = – 3, we getL.H.S. = 2x2 + 5x – 3= 2 (–3)2 + 5 (– 3) – 3= 2 x 9 – 15 – 3= 18 – 15 – 3 = 15 – 15 = 0 = R.H.S.Hence, x = – 3 is a solution of 2x2 + 5x – 3 = 0 Proved.