1/x=3/3x-5

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Solution for 1/x=3/3x-5 equation: 



1/x=3/3x-5

We move all terms to the left:

1/x-(3/3x-5)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: 3x-5)!=0

x∈R



We get rid of parentheses

1/x-3/3x+5=0

We calculate fractions


3x/3x^2+(-3x)/3x^2+5=0

We multiply all the terms by the denominator


3x+(-3x)+5*3x^2=0

Wy multiply elements

15x^2+3x+(-3x)=0

We get rid of parentheses

15x^2+3x-3x=0

We add all the numbers together, and all the variables

15x^2=0

a = 15; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·15·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{30}=0$

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