5n^2+1505n-12360=0

Solution for 5n^2+1505n-12360=0 equation:

5n^2+1505n-12360=0

a = 5; b = 1505; c = -12360;
Δ = b2-4ac
Δ = 15052-4·5·(-12360)
Δ = 2512225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2512225}=1585$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1505)-1585}{2*5}=\frac{-3090}{10}
=-309
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1505)+1585}{2*5}=\frac{80}{10}
=8
$