Answer:The problem asks us to find the sum and the product of the roots of the quadratic equation:2x^2 - 3x = 0Step 1: Factor the equation.We can factor the equation by factoring out a common factor of x:x(2x - 3) = 0Step 2: Find the roots.Setting each factor equal to zero and solving for x, we get: * x = 0 * 2x - 3 = 0 \implies x = \frac{3}{2}Step 3: Find the sum and product. * Sum of roots: 0 + \frac{3}{2} = \frac{3}{2} * Product of roots: 0 \times \frac{3}{2} = 0Therefore, the sum of the roots is \frac{3}{2} and the product of the roots is 0.