x/(x-8)+4=8/(x-8)

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Solution for x/(x-8)+4=8/(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/(x-8)+4 = 8/(x-8) // - 8/(x-8)

x/(x-8)-(8/(x-8))+4 = 0

x/(x-8)-8*(x-8)^-1+4 = 0

x/(x-8)-8/(x-8)+4 = 0

x/(x-8)-8/(x-8)+(4*(x-8))/(x-8) = 0

4*(x-8)+x-8 = 0

x+4*x-32-8 = 0

5*x-40 = 0

(5*x-40)/(x-8) = 0

(5*x-40)/(x-8) = 0 // * x-8

5*x-40 = 0

5*x-40 = 0 // + 40

5*x = 40 // : 5

x = 40/5

x = 8

x in { 8} 

x belongs to the empty set

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