5n(3-1)=6n

Solution for 5n(3-1)=6n equation:

5n(3-1)=6n

We move all terms to the left:

5n(3-1)-(6n)=0

We add all the numbers together, and all the variables

5n2-6n=0

We add all the numbers together, and all the variables

5n^2-6n=0

a = 5; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·5·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*5}=\frac{0}{10}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*5}=\frac{12}{10}
=1+1/5
$