m/(m-5)-6=5/(m-5)

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Solution for m/(m-5)-6=5/(m-5) equation: 


D( m )

m-5 = 0

m-5 = 0

m-5 = 0

m-5 = 0 // + 5

m = 5

m in (-oo:5) U (5:+oo)

m/(m-5)-6 = 5/(m-5) // - 5/(m-5)

m/(m-5)-(5/(m-5))-6 = 0

m/(m-5)-5*(m-5)^-1-6 = 0

m/(m-5)-5/(m-5)-6 = 0

m/(m-5)-5/(m-5)+(-6*(m-5))/(m-5) = 0

m-6*(m-5)-5 = 0

m-6*m-5+30 = 0

25-5*m = 0

(25-5*m)/(m-5) = 0

(25-5*m)/(m-5) = 0 // * m-5

25-5*m = 0

25-5*m = 0 // - 25

-5*m = -25 // : -5

m = -25/(-5)

m = 5

m in { 5} 

m belongs to the empty set

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