-6/(x-6)=9/(x-1)

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Solution for -6/(x-6)=9/(x-1) equation: 


D( x )

x-6 = 0

x-1 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:6) U (6:+oo)

-6/(x-6) = 9/(x-1) // - 9/(x-1)

-6/(x-6)-(9/(x-1)) = 0

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

-6/(x-6)-9/(x-1) = 0

(-6*(x-1))/((x-6)*(x-1))+(-9*(x-6))/((x-6)*(x-1)) = 0

-6*(x-1)-9*(x-6) = 0

60-15*x = 0

(60-15*x)/((x-6)*(x-1)) = 0

(60-15*x)/((x-6)*(x-1)) = 0 // * (x-6)*(x-1)

60-15*x = 0

60-15*x = 0 // - 60

-15*x = -60 // : -15

x = -60/(-15)

x = 4

x = 4

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