x/(x-9)+1=9/(x-9)

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Solution for x/(x-9)+1=9/(x-9) equation: 


D( x )

x-9 = 0

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:9) U (9:+oo)

x/(x-9)+1 = 9/(x-9) // - 9/(x-9)

x/(x-9)-(9/(x-9))+1 = 0

x/(x-9)-9*(x-9)^-1+1 = 0

x/(x-9)-9/(x-9)+1 = 0

x/(x-9)-9/(x-9)+(1*(x-9))/(x-9) = 0

1*(x-9)+x-9 = 0

x+x-9-9 = 0

2*x-18 = 0

(2*x-18)/(x-9) = 0

(2*x-18)/(x-9) = 0 // * x-9

2*x-18 = 0

2*x-18 = 0 // + 18

2*x = 18 // : 2

x = 18/2

x = 9

x in { 9} 

x belongs to the empty set

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