28n^2-180n-112=0

Solution for 28n^2-180n-112=0 equation:

28n^2-180n-112=0

a = 28; b = -180; c = -112;
Δ = b2-4ac
Δ = -1802-4·28·(-112)
Δ = 44944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44944}=212$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-180)-212}{2*28}=\frac{-32}{56}
=-4/7
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-180)+212}{2*28}=\frac{392}{56}
=7
$