1/x-1/(x-2)

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Solution for 1/x-1/(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)

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

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

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

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

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

-2 = 0

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

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

-2 = 0

x belongs to the empty set

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