H=-16t^2+336t

Solution for H=-16t^2+336t equation:

=-16H^2+336H

We move all terms to the left:

-(-16H^2+336H)=0

We get rid of parentheses

16H^2-336H=0

a = 16; b = -336; c = 0;
Δ = b2-4ac
Δ = -3362-4·16·0
Δ = 112896
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{112896}=336$
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-336)-336}{2*16}=\frac{0}{32}
=0
$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-336)+336}{2*16}=\frac{672}{32}
=21
$