Step 1 :Step 1: Set the function equal to zero, \(2x^2 + 3x - 2 = 0\).
Step 2 :Step 2: Factor the quadratic equation, \((2x - 1)(x + 2) = 0\).
Step 3 :Step 3: Set each factor equal to zero and solve for \(x\), \(2x - 1 = 0\) and \(x + 2 = 0\).