1/(x-3)=3/(x-5)

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Solution for 1/(x-3)=3/(x-5) equation: 


D( x )

x-5 = 0

x-3 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:5) U (5:+oo)

1/(x-3) = 3/(x-5) // - 3/(x-5)

1/(x-3)-(3/(x-5)) = 0

1/(x-3)-3*(x-5)^-1 = 0

1/(x-3)-3/(x-5) = 0

(1*(x-5))/((x-3)*(x-5))+(-3*(x-3))/((x-3)*(x-5)) = 0

1*(x-5)-3*(x-3) = 0

4-2*x = 0

(4-2*x)/((x-3)*(x-5)) = 0

(4-2*x)/((x-3)*(x-5)) = 0 // * (x-3)*(x-5)

4-2*x = 0

4-2*x = 0 // - 4

-2*x = -4 // : -2

x = -4/(-2)

x = 2

x = 2

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