2/3=1/2(-6a+8)

Solution for 2/3=1/2(-6a+8) equation:

2/3=1/2(-6a+8)

We move all terms to the left:

2/3-(1/2(-6a+8))=0


Domain of the equation: 2(-6a+8))!=0

a∈R


We calculate fractions


()/(-36a)+(4a(-)/(-36a)=0


We calculate terms in parentheses: +(4a(-)/(-36a), so:

4a(-)/(-36a

We add all the numbers together, and all the variables

4a0/(-36a

We multiply all the terms by the denominator


4a0

We add all the numbers together, and all the variables

4a

Back to the equation:

+(4a)


We add all the numbers together, and all the variables

4a+()/(-36a)=0

We multiply all the terms by the denominator


4a*(-36a)+()=0

We add all the numbers together, and all the variables

4a*(-36a)=0

We multiply parentheses

-144a^2=0

a = -144; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-144)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$a=\frac{-b}{2a}=\frac{0}{-288}=0$