80n^2+184n+96=0

Solution for 80n^2+184n+96=0 equation:

80n^2+184n+96=0

a = 80; b = 184; c = +96;
Δ = b2-4ac
Δ = 1842-4·80·96
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(184)-56}{2*80}=\frac{-240}{160}
=-1+1/2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(184)+56}{2*80}=\frac{-128}{160}
=-4/5
$