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

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



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

We move all terms to the left:

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



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R





Domain of the equation: x-2)!=0

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


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

We multiply all the terms by the denominator


x^2+6x^2-6*3x^2=0

We add all the numbers together, and all the variables

7x^2-6*3x^2=0

Wy multiply elements

7x^2-18x^2=0

We add all the numbers together, and all the variables

-11x^2=0

a = -11; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-11)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-22}=0$

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