5/x+4/(x-2)=10/x

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Solution for 5/x+4/(x-2)=10/x equation: 


D( x )

x-2 = 0

x = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x = 0

x = 0

x in (-oo:0) U (0:2) U (2:+oo)

4/(x-2)+5/x = 10/x // - 10/x

4/(x-2)+5/x-(10/x) = 0

4/(x-2)+5/x-10*x^-1 = 0

4/(x-2)+5/x-10/x = 0

(4*x)/(x*(x-2))+(5*(x-2))/(x*(x-2))+(-10*(x-2))/(x*(x-2)) = 0

5*(x-2)-10*(x-2)+4*x = 0

9*x-10*x-10+20 = 0

10-x = 0

(10-x)/(x*(x-2)) = 0

(10-x)/(x*(x-2)) = 0 // * x*(x-2)

10-x = 0

10-x = 0 // - 10

-x = -10 // * -1

x = 10

x = 10

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