H=4.9d^2+588.1d+1.2

Solution for H=4.9d^2+588.1d+1.2 equation:

=4.9H^2+588.1H+1.2

We move all terms to the left:

-(4.9H^2+588.1H+1.2)=0

We get rid of parentheses

-4.9H^2-588.1H-1.2=0

a = -4.9; b = -588.1; c = -1.2;
Δ = b2-4ac
Δ = -588.12-4·(-4.9)·(-1.2)
Δ = 345838.09
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-588.1)-\sqrt{345838.09}}{2*-4.9}=\frac{588.1-\sqrt{345838.09}}{-9.8}
$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-588.1)+\sqrt{345838.09}}{2*-4.9}=\frac{588.1+\sqrt{345838.09}}{-9.8}
$