6/2x-2=3/x

Solution for 6/2x-2=3/x equation:

6/2x-2=3/x

We move all terms to the left:

6/2x-2-(3/x)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

6/2x-(+3/x)-2=0

We get rid of parentheses

6/2x-3/x-2=0

We calculate fractions


6x/2x^2+(-6x)/2x^2-2=0

We multiply all the terms by the denominator


6x+(-6x)-2*2x^2=0

Wy multiply elements

-4x^2+6x+(-6x)=0

We get rid of parentheses

-4x^2+6x-6x=0

We add all the numbers together, and all the variables

-4x^2=0

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

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-8}=0$