80n^2+944n-8064=0

Solution for 80n^2+944n-8064=0 equation:

80n^2+944n-8064=0

a = 80; b = 944; c = -8064;
Δ = b2-4ac
Δ = 9442-4·80·(-8064)
Δ = 3471616
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3471616}=\sqrt{256*13561}=\sqrt{256}*\sqrt{13561}=16\sqrt{13561}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(944)-16\sqrt{13561}}{2*80}=\frac{-944-16\sqrt{13561}}{160}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(944)+16\sqrt{13561}}{2*80}=\frac{-944+16\sqrt{13561}}{160}
$