3*(x+4)=14-2/3x

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Solution for 3*(x+4)=14-2/3x equation: 



3(x+4)=14-2/3x

We move all terms to the left:

3(x+4)-(14-2/3x)=0



Domain of the equation: 3x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

3(x+4)-(-2/3x+14)=0

We multiply parentheses

3x-(-2/3x+14)+12=0

We get rid of parentheses

3x+2/3x-14+12=0

We multiply all the terms by the denominator


3x*3x-14*3x+12*3x+2=0

Wy multiply elements

9x^2-42x+36x+2=0

We add all the numbers together, and all the variables

9x^2-6x+2=0

a = 9; b = -6; c = +2;
Δ = b2-4ac
Δ = -62-4·9·2
Δ = -36
Delta is less than zero, so there is no solution for the equation

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