3/(x-4)=9/(x-2)

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Solution for 3/(x-4)=9/(x-2) equation: 


D( x )

x-2 = 0

x-4 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:2) U (2:4) U (4:+oo)

3/(x-4) = 9/(x-2) // - 9/(x-2)

3/(x-4)-(9/(x-2)) = 0

3/(x-4)-9*(x-2)^-1 = 0

3/(x-4)-9/(x-2) = 0

(3*(x-2))/((x-4)*(x-2))+(-9*(x-4))/((x-4)*(x-2)) = 0

3*(x-2)-9*(x-4) = 0

30-6*x = 0

(30-6*x)/((x-4)*(x-2)) = 0

(30-6*x)/((x-4)*(x-2)) = 0 // * (x-4)*(x-2)

30-6*x = 0

30-6*x = 0 // - 30

-6*x = -30 // : -6

x = -30/(-6)

x = 5

x = 5

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