0=2n-n2+3

Solution for 0=2n-n2+3 equation:

0=2n-n2+3

We move all terms to the left:

0-(2n-n2+3)=0

We add all the numbers together, and all the variables

-(+2n-1n^2+3)+0=0

We add all the numbers together, and all the variables

-(+2n-1n^2+3)=0

We get rid of parentheses

1n^2-2n-3=0

We add all the numbers together, and all the variables

n^2-2n-3=0

a = 1; b = -2; c = -3;
Δ = b2-4ac
Δ = -22-4·1·(-3)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-4}{2*1}=\frac{-2}{2}
=-1
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+4}{2*1}=\frac{6}{2}
=3
$