2/3=1/4(-12n+8)

Solution for 2/3=1/4(-12n+8) equation:

2/3=1/4(-12n+8)

We move all terms to the left:

2/3-(1/4(-12n+8))=0


Domain of the equation: 4(-12n+8))!=0

n∈R


We calculate fractions


()/(-144n)+(8n(-)/(-144n)=0


We calculate terms in parentheses: +(8n(-)/(-144n), so:

8n(-)/(-144n

We add all the numbers together, and all the variables

8n0/(-144n

We multiply all the terms by the denominator


8n0

We add all the numbers together, and all the variables

8n

Back to the equation:

+(8n)


We add all the numbers together, and all the variables

8n+()/(-144n)=0

We multiply all the terms by the denominator


8n*(-144n)+()=0

We add all the numbers together, and all the variables

8n*(-144n)=0

We multiply parentheses

-1152n^2=0

a = -1152; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-1152)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$n=\frac{-b}{2a}=\frac{0}{-2304}=0$