3/(x-1)=2/x+3/x

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Solution for 3/(x-1)=2/x+3/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) = 2/x+3/x // - 2/x+3/x

3/(x-1)-(2/x)-(3/x) = 0

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

3/(x-1)-2/x-3/x = 0

(3*x)/(x*(x-1))+(-2*(x-1))/(x*(x-1))+(-3*(x-1))/(x*(x-1)) = 0

3*x-2*(x-1)-3*(x-1) = 0

x-3*x+2+3 = 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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