4/(x-3)=6/(x+3)

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Solution for 4/(x-3)=6/(x+3) equation: 


D( x )

x-3 = 0

x+3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

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

4/(x-3) = 6/(x+3) // - 6/(x+3)

4/(x-3)-(6/(x+3)) = 0

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

4/(x-3)-6/(x+3) = 0

(4*(x+3))/((x-3)*(x+3))+(-6*(x-3))/((x-3)*(x+3)) = 0

4*(x+3)-6*(x-3) = 0

30-2*x = 0

(30-2*x)/((x-3)*(x+3)) = 0

(30-2*x)/((x-3)*(x+3)) = 0 // * (x-3)*(x+3)

30-2*x = 0

30-2*x = 0 // - 30

-2*x = -30 // : -2

x = -30/(-2)

x = 15

x = 15

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