3=3x+1/3x+1

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Solution for 3=3x+1/3x+1 equation: 



3=3x+1/3x+1

We move all terms to the left:

3-(3x+1/3x+1)=0



Domain of the equation: 3x+1)!=0

x∈R



We get rid of parentheses

-3x-1/3x-1+3=0

We multiply all the terms by the denominator


-3x*3x-1*3x+3*3x-1=0

Wy multiply elements

-9x^2-3x+9x-1=0

We add all the numbers together, and all the variables

-9x^2+6x-1=0

a = -9; b = 6; c = -1;
Δ = b2-4ac
Δ = 62-4·(-9)·(-1)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-6}{-18}=1/3$

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