(m/(m-9))-10=9/(m-9)

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Solution for (m/(m-9))-10=9/(m-9) equation: 


D( m )

m-9 = 0

m-9 = 0

m-9 = 0

m-9 = 0 // + 9

m = 9

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

m/(m-9)-10 = 9/(m-9) // - 9/(m-9)

m/(m-9)-(9/(m-9))-10 = 0

m/(m-9)-9*(m-9)^-1-10 = 0

m/(m-9)-9/(m-9)-10 = 0

m/(m-9)-9/(m-9)+(-10*(m-9))/(m-9) = 0

m-10*(m-9)-9 = 0

m-10*m-9+90 = 0

81-9*m = 0

(81-9*m)/(m-9) = 0

(81-9*m)/(m-9) = 0 // * m-9

81-9*m = 0

81-9*m = 0 // - 81

-9*m = -81 // : -9

m = -81/(-9)

m = 9

m in { 9} 

m belongs to the empty set

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