15n^2+110n+35=0

Solution for 15n^2+110n+35=0 equation:

15n^2+110n+35=0

a = 15; b = 110; c = +35;
Δ = b2-4ac
Δ = 1102-4·15·35
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(110)-100}{2*15}=\frac{-210}{30}
=-7
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(110)+100}{2*15}=\frac{-10}{30}
=-1/3
$