8h^2+12h=4896

Solution for 8h^2+12h=4896 equation:

8h^2+12h=4896

We move all terms to the left:

8h^2+12h-(4896)=0

a = 8; b = 12; c = -4896;
Δ = b2-4ac
Δ = 122-4·8·(-4896)
Δ = 156816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{156816}=396$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-396}{2*8}=\frac{-408}{16}
=-25+1/2
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+396}{2*8}=\frac{384}{16}
=24
$