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

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


D( x )

x-3 = 0

x-1 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

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

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

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

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

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

9-x = 0

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

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

9-x = 0

9-x = 0 // - 9

-x = -9 // * -1

x = 9

x = 9

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