(x-2)/(x-4)=2/(x-4)

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Solution for (x-2)/(x-4)=2/(x-4) equation: 


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:+oo)

(x-2)/(x-4) = 2/(x-4) // - 2/(x-4)

(x-2)/(x-4)-(2/(x-4)) = 0

(x-2)/(x-4)-2*(x-4)^-1 = 0

(x-2)/(x-4)-2/(x-4) = 0

x-2-2 = 0

x-4 = 0

(x-4)/(x-4) = 0

(x-4)/(x-4) = 0 // * x-4

x-4 = 0

x-4 = 0 // + 4

x = 4

x in { 4} 

x belongs to the empty set

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