1/(x-1)=3/x

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Solution for 1/(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)

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

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

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

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

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

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

3-2*x = 0

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

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

3-2*x = 0

3-2*x = 0 // - 3

-2*x = -3 // : -2

x = -3/(-2)

x = 3/2

x = 3/2

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