The roots of the equation are at x=0 and x=5.
To solve this, we will factor the quadratic. Both terms are divisible by 16x, so we will factor that out:
0=16x(-x+5)
Using the zero product property, we know that either 16x=0 or -x+5=0. For the first choice, dividing both sides by 16 will give us x=0.
For -x+5=0, we will subtract 5 from both sides, giving us -x=-5. Dividing both sides by -1, we have x=5.
The interpretation of the roots is the times when the ball hit the ground. At x=0, this is before it is kicked. At x=5, this is when the ball falls back to the ground.
