(n-2)180n=720

Solution for (n-2)180n=720 equation:

(n-2)180n=720

We move all terms to the left:

(n-2)180n-(720)=0

We multiply parentheses

180n^2-360n-720=0

a = 180; b = -360; c = -720;
Δ = b2-4ac
Δ = -3602-4·180·(-720)
Δ = 648000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{648000}=\sqrt{129600*5}=\sqrt{129600}*\sqrt{5}=360\sqrt{5}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-360)-360\sqrt{5}}{2*180}=\frac{360-360\sqrt{5}}{360}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-360)+360\sqrt{5}}{2*180}=\frac{360+360\sqrt{5}}{360}
$