3/(x-1)=(5/x)

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Solution for 3/(x-1)=(5/x) equation: 


D( x )

x = 0

x-1 = 0

x = 0

x = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:0) U (0:1) U (1:+oo)

3/(x-1) = 5/x // - 5/x

3/(x-1)-(5/x) = 0

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

3/(x-1)-5/x = 0

(3*x)/(x*(x-1))+(-5*(x-1))/(x*(x-1)) = 0

3*x-5*(x-1) = 0

5-2*x = 0

(5-2*x)/(x*(x-1)) = 0

(5-2*x)/(x*(x-1)) = 0 // * x*(x-1)

5-2*x = 0

5-2*x = 0 // - 5

-2*x = -5 // : -2

x = -5/(-2)

x = 5/2

x = 5/2

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