9/(x-3)-6/(1-x)=0

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Solution for 9/(x-3)-6/(1-x)=0 equation: 


D( x )

1-x = 0

x-3 = 0

1-x = 0

1-x = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:1) U (1:3) U (3:+oo)

9/(x-3)-(6/(1-x)) = 0

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

9/(x-3)-6/(1-x) = 0

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

9*(1-x)-6*(x-3) = 0

27-15*x = 0

(27-15*x)/((x-3)*(1-x)) = 0

(27-15*x)/((x-3)*(1-x)) = 0 // * (x-3)*(1-x)

27-15*x = 0

27-15*x = 0 // - 27

-15*x = -27 // : -15

x = -27/(-15)

x = 9/5

x = 9/5

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