720n=180n^2

Solution for 720n=180n^2 equation:

720n=180n^2

We move all terms to the left:

720n-(180n^2)=0

determiningTheFunctionDomain
-180n^2+720n=0

a = -180; b = 720; c = 0;
Δ = b2-4ac
Δ = 7202-4·(-180)·0
Δ = 518400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{518400}=720$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(720)-720}{2*-180}=\frac{-1440}{-360}
=+4
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(720)+720}{2*-180}=\frac{0}{-360}
=0
$