12/2x-2=6/x

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Solution for 12/2x-2=6/x equation: 



12/2x-2=6/x

We move all terms to the left:

12/2x-2-(6/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

12/2x-(+6/x)-2=0

We get rid of parentheses

12/2x-6/x-2=0

We calculate fractions


12x/2x^2+(-12x)/2x^2-2=0

We multiply all the terms by the denominator


12x+(-12x)-2*2x^2=0

Wy multiply elements

-4x^2+12x+(-12x)=0

We get rid of parentheses

-4x^2+12x-12x=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:
$x=\frac{-b}{2a}=\frac{0}{-8}=0$

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