7/x-2/(x-3)=6/x

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Solution for 7/x-2/(x-3)=6/x equation: 


D( x )

x = 0

x-3 = 0

x = 0

x = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:0) U (0:3) U (3:+oo)

7/x-(2/(x-3)) = 6/x // - 6/x

7/x-(2/(x-3))-(6/x) = 0

7/x-2*(x-3)^-1-6*x^-1 = 0

7/x-2/(x-3)-6/x = 0

(-2*x)/(x*(x-3))+(7*(x-3))/(x*(x-3))+(-6*(x-3))/(x*(x-3)) = 0

7*(x-3)-6*(x-3)-2*x = 0

5*x-6*x-21+18 = 0

-x-3 = 0

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

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

-x-3 = 0

-x-3 = 0 // + 3

-x = 3 // * -1

x = -3

x = -3

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