0=2n2+9n-3560

Solution for 0=2n2+9n-3560 equation:

0=2n^2+9n-3560

We move all terms to the left:

0-(2n^2+9n-3560)=0

We add all the numbers together, and all the variables

-(2n^2+9n-3560)=0

We get rid of parentheses

-2n^2-9n+3560=0

a = -2; b = -9; c = +3560;
Δ = b2-4ac
Δ = -92-4·(-2)·3560
Δ = 28561
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28561}=169$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-169}{2*-2}=\frac{-160}{-4}
=+40
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+169}{2*-2}=\frac{178}{-4}
=-44+1/2
$