(x/(x-6))+6=(6/(x-6))

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


D( x )

x-6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x in (-oo:6) U (6:+oo)

x/(x-6)+6 = 6/(x-6) // - 6/(x-6)

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

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

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

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

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

x+6*x-36-6 = 0

7*x-42 = 0

(7*x-42)/(x-6) = 0

(7*x-42)/(x-6) = 0 // * x-6

7*x-42 = 0

7*x-42 = 0 // + 42

7*x = 42 // : 7

x = 42/7

x = 6

x in { 6} 

x belongs to the empty set

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