H=-16t^2+153t+

Solution for H=-16t^2+153t+ equation:

=-16H^2+153H+

We move all terms to the left:

-(-16H^2+153H+)=0

We get rid of parentheses

16H^2-153H-=0

We add all the numbers together, and all the variables

16H^2-153H=0

a = 16; b = -153; c = 0;
Δ = b2-4ac
Δ = -1532-4·16·0
Δ = 23409
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23409}=153$
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-153)-153}{2*16}=\frac{0}{32}
=0
$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-153)+153}{2*16}=\frac{306}{32}
=9+9/16
$