7n+3n^2=880

Solution for 7n+3n^2=880 equation:

7n+3n^2=880

We move all terms to the left:

7n+3n^2-(880)=0

a = 3; b = 7; c = -880;
Δ = b2-4ac
Δ = 72-4·3·(-880)
Δ = 10609
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10609}=103$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-103}{2*3}=\frac{-110}{6}
=-18+1/3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+103}{2*3}=\frac{96}{6}
=16
$