(t/(t-6))+9=(6/(t-6))

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Solution for (t/(t-6))+9=(6/(t-6)) equation: 


D( t )

t-6 = 0

t-6 = 0

t-6 = 0

t-6 = 0 // + 6

t = 6

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

t/(t-6)+9 = 6/(t-6) // - 6/(t-6)

t/(t-6)-(6/(t-6))+9 = 0

t/(t-6)-6*(t-6)^-1+9 = 0

t/(t-6)-6/(t-6)+9 = 0

t/(t-6)-6/(t-6)+(9*(t-6))/(t-6) = 0

9*(t-6)+t-6 = 0

t+9*t-54-6 = 0

10*t-60 = 0

(10*t-60)/(t-6) = 0

(10*t-60)/(t-6) = 0 // * t-6

10*t-60 = 0

10*t-60 = 0 // + 60

10*t = 60 // : 10

t = 60/10

t = 6

t in { 6} 

t belongs to the empty set

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