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

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


D( x )

3-x = 0

x-3 = 0

3-x = 0

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

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

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

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

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

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

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

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

18-6*x = 0

(18-6*x)/((x-3)*(3-x)) = 0

(18-6*x)/((x-3)*(3-x)) = 0 // * (x-3)*(3-x)

18-6*x = 0

18-6*x = 0 // - 18

-6*x = -18 // : -6

x = -18/(-6)

x = 3

x in { 3} 

x belongs to the empty set

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