H=4t^2+25t

Solution for H=4t^2+25t equation:

=4H^2+25H

We move all terms to the left:

-(4H^2+25H)=0

We get rid of parentheses

-4H^2-25H=0

a = -4; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·(-4)·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*-4}=\frac{0}{-8}
=0
$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*-4}=\frac{50}{-8}
=-6+1/4
$