n=(n/3)

Solution for n=(n/3) equation:

n=(n/3)

We move all terms to the left:

n-((n/3))=0

We add all the numbers together, and all the variables

n-((+n/3))=0

We multiply all the terms by the denominator


n*3))-((+n=0

We add all the numbers together, and all the variables

n+n*3))-((=0

Wy multiply elements

3n^2+n=0

a = 3; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·3·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*3}=\frac{-2}{6}
=-1/3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*3}=\frac{0}{6}
=0
$