(x-2)/(x-8)=(6)/(x-8)

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Solution for (x-2)/(x-8)=(6)/(x-8) equation: 


D( x )

x-8 = 0

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

x in (-oo:8) U (8:+oo)

(x-2)/(x-8) = 6/(x-8) // - 6/(x-8)

(x-2)/(x-8)-(6/(x-8)) = 0

(x-2)/(x-8)-6*(x-8)^-1 = 0

(x-2)/(x-8)-6/(x-8) = 0

x-6-2 = 0

x-8 = 0

(x-8)/(x-8) = 0

(x-8)/(x-8) = 0 // * x-8

x-8 = 0

x-8 = 0 // + 8

x = 8

x in { 8} 

x belongs to the empty set

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