3/(x-9)=5/(x-6)

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Solution for 3/(x-9)=5/(x-6) equation:


D( x )

x-6 = 0

x-9 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:6) U (6:9) U (9:+oo)

3/(x-9) = 5/(x-6) // - 5/(x-6)

3/(x-9)-(5/(x-6)) = 0

3/(x-9)-5*(x-6)^-1 = 0

3/(x-9)-5/(x-6) = 0

(3*(x-6))/((x-9)*(x-6))+(-5*(x-9))/((x-9)*(x-6)) = 0

3*(x-6)-5*(x-9) = 0

27-2*x = 0

(27-2*x)/((x-9)*(x-6)) = 0

(27-2*x)/((x-9)*(x-6)) = 0 // * (x-9)*(x-6)

27-2*x = 0

27-2*x = 0 // - 27

-2*x = -27 // : -2

x = -27/(-2)

x = 27/2

x = 27/2

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