

Given, equation is
2x2 - 5x - 3 = 0
=> 2x2 - 6x + x - 3 = 0
=> 2x(x - 3) + 1(x - 3) = 0
=> (x - 3)*(2x + 1) = 0
=> x - 3 = 0 and 2x + 1 = 0
=> x = 3 and 2x = -1
=> x = 3, -1/2
Since, 3 is a zero of the given equation.
So, x = 3 is a solution of the given equation.
