0=3n^2+7n-880

Solution for 0=3n^2+7n-880 equation:

0=3n^2+7n-880

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We get rid of parentheses

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