9/(3x)=2/(x-1)

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Solution for 9/(3x)=2/(x-1) equation: 


D( x )

3*x = 0

x-1 = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

9/(3*x) = 2/(x-1) // - 2/(x-1)

9/(3*x)-(2/(x-1)) = 0

9/(3*x)-2*(x-1)^-1 = 0

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

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

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

x-3 = 0

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

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

x-3 = 0

x-3 = 0 // + 3

x = 3

x = 3

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