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

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

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

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

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

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

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

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

15*x-60 = 0

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

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

15*x-60 = 0

15*x-60 = 0 // + 60

15*x = 60 // : 15

x = 60/15

x = 4

x = 4

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