n(n-2)180=156n

Solution for n(n-2)180=156n equation:

n(n-2)180=156n

We move all terms to the left:

n(n-2)180-(156n)=0

We add all the numbers together, and all the variables

-156n+n(n-2)180=0

We multiply parentheses

180n^2-156n-360n=0

We add all the numbers together, and all the variables

180n^2-516n=0

a = 180; b = -516; c = 0;
Δ = b2-4ac
Δ = -5162-4·180·0
Δ = 266256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{266256}=516$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-516)-516}{2*180}=\frac{0}{360}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-516)+516}{2*180}=\frac{1032}{360}
=2+13/15
$