x=x/(x-1)

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


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

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

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

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

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

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

x^2-2*x = 0

x^2-2*x = 0

x*(x-2) = 0

x-2 = 0 // + 2

x = 2

x*(x-2) = 0

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

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

x*(x-2) = 0

( x-2 )

x-2 = 0 // + 2

x = 2

( x )

x = 0

x in { 2, 0 }

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