2/3=3/2(4-9x+3)

Solution for 2/3=3/2(4-9x+3) equation:

2/3=3/2(4-9x+3)

We move all terms to the left:

2/3-(3/2(4-9x+3))=0


Domain of the equation: 2(4-9x+3))!=0

x∈R


We add all the numbers together, and all the variables

-(3/2(-9x+7))+2/3=0

We calculate fractions


()/(-54x)+(4x(-)/(-54x)=0


We calculate terms in parentheses: +(4x(-)/(-54x), so:

4x(-)/(-54x

We add all the numbers together, and all the variables

4x0/(-54x

We multiply all the terms by the denominator


4x0

We add all the numbers together, and all the variables

4x

Back to the equation:

+(4x)


We add all the numbers together, and all the variables

4x+()/(-54x)=0

We multiply all the terms by the denominator


4x*(-54x)+()=0

We add all the numbers together, and all the variables

4x*(-54x)=0

We multiply parentheses

-216x^2=0

a = -216; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-216)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-432}=0$