3/(x-4)=5/x

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Solution for 3/(x-4)=5/x equation: 


D( x )

x = 0

x-4 = 0

x = 0

x = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:0) U (0:4) U (4:+oo)

3/(x-4) = 5/x // - 5/x

3/(x-4)-(5/x) = 0

3/(x-4)-5*x^-1 = 0

3/(x-4)-5/x = 0

(3*x)/(x*(x-4))+(-5*(x-4))/(x*(x-4)) = 0

3*x-5*(x-4) = 0

20-2*x = 0

(20-2*x)/(x*(x-4)) = 0

(20-2*x)/(x*(x-4)) = 0 // * x*(x-4)

20-2*x = 0

20-2*x = 0 // - 20

-2*x = -20 // : -2

x = -20/(-2)

x = 10

x = 10

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