9/(x-1)=3+11/(x-1)

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Solution for 9/(x-1)=3+11/(x-1) equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

9/(x-1) = 11/(x-1)+3 // - 11/(x-1)+3

9/(x-1)-(11/(x-1))-3 = 0

9/(x-1)-11*(x-1)^-1-3 = 0

9/(x-1)-11/(x-1)-3 = 0

9/(x-1)-11/(x-1)+(-3*(x-1))/(x-1) = 0

9-3*(x-1)-11 = 0

3-3*x-2 = 0

1-3*x = 0

(1-3*x)/(x-1) = 0

(1-3*x)/(x-1) = 0 // * x-1

1-3*x = 0

1-3*x = 0 // - 1

-3*x = -1 // : -3

x = -1/(-3)

x = 1/3

x = 1/3

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