2/(x-2)+1/x=2/(x-2)

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Solution for 2/(x-2)+1/x=2/(x-2) equation: 


D( x )

x-2 = 0

x = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x = 0

x = 0

x in (-oo:0) U (0:2) U (2:+oo)

2/(x-2)+1/x = 2/(x-2) // - 2/(x-2)

2/(x-2)-(2/(x-2))+1/x = 0

2/(x-2)-2*(x-2)^-1+1/x = 0

2/(x-2)-2/(x-2)+1/x = 0

(2*x)/(x*(x-2))+(-2*x)/(x*(x-2))+(1*(x-2))/(x*(x-2)) = 0

1*(x-2)+2*x-2*x = 0

x-2 = 0

(x-2)/(x*(x-2)) = 0

(x-2)/(x*(x-2)) = 0 // * x*(x-2)

x-2 = 0

x-2 = 0 // + 2

x = 2

x in { 2} 

x belongs to the empty set

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