Solve 2x^2 - 7x + 3 = 0.

Factor the quadratic:
2x^2 - 7x + 3 = (2x - 1)(x - 3)

Set each factor equal to zero:
2x - 1 = 0
x - 3 = 0

Solve each equation:
x = 1/2 or x = 3