To use the Zero Product Property to find the horizontal distance the ball has traveled when the height of the soccer ball equals 0, Leon should set each factor of the equation \(0 = -\frac{1}{2}x(x - 20)\) to zero. This means he has two equations to solve:
- \(-\frac{1}{2}x = 0\)
- \(x - 20 = 0\)
When he sets each factor equal to zero:
- From \(-\frac{1}{2}x = 0\), solving for \(x\) gives \(x = 0\).
- From \(x - 20 = 0\), solving for \(x\) gives \(x = 20\).
Thus, the ball hits the ground when \(x = 0\) (the starting point) or \(x = 20\) (the point where it lands after being kicked). The correct response to the question would be:
Solve the two equations: -\frac{1}{2}x = 0 and x - 20 = 0.