Factoring Polynomials: Summary and Word Problems

Faith was playing fetch with her dog in her backyard. She threw a ball, and the path the ball traveled could be described by the equation $$h(x)=-4x^{2}+27x+7,$$ where $x$ is the number of meters that the ball has traveled. How far (in meters) does Faith’s dog have to run to grab the ball when it hits the ground?