2/(x-1)=3/x

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Solution for 2/(x-1)=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)

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

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

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

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

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

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

3-x = 0

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

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

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x = 3

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