56n^2-272n-384=0

Solution for 56n^2-272n-384=0 equation:

56n^2-272n-384=0

a = 56; b = -272; c = -384;
Δ = b2-4ac
Δ = -2722-4·56·(-384)
Δ = 160000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{160000}=400$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-272)-400}{2*56}=\frac{-128}{112}
=-1+1/7
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-272)+400}{2*56}=\frac{672}{112}
=6
$