(x+1)/(x-1)-(3x)/(3x-6)=0

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Solution for (x+1)/(x-1)-(3x)/(3x-6)=0 equation: 


D( x )

3*x-6 = 0

x-1 = 0

3*x-6 = 0

3*x-6 = 0

3*x-6 = 0 // + 6

3*x = 6 // : 3

x = 6/3

x = 2

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:2) U (2:+oo)

(x+1)/(x-1)-((3*x)/(3*x-6)) = 0

(x+1)/(x-1)-3*x*(3*x-6)^-1 = 0

(x+1)/(x-1)+(-3*x)/(3*x-6) = 0

((x+1)*(3*x-6))/((x-1)*(3*x-6))+(-3*x*(x-1))/((x-1)*(3*x-6)) = 0

(x+1)*(3*x-6)-3*x*(x-1) = 0

-6 = 0

-6/((x-1)*(3*x-6)) = 0

-6/((x-1)*(3*x-6)) = 0 // * (x-1)*(3*x-6)

-6 = 0

x belongs to the empty set

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