Y=x/(x-1/2)

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


D( x )

x-(1/2) = 0

x-(1/2) = 0

x-(1/2) = 0

x-1/2 = 0

x-1/2 = 0 // + 1/2

x = 1/2

x in (-oo:1/2) U (1/2:+oo)

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

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

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

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

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

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

Y*x-1/2*Y-x = 0

Y*x-1/2*Y-x = 0

Y*x-1/2*Y = 0 // + -1/2*Y

Y*x = -(-1/2*Y) // : Y

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

x = 1/2

x-1/2 = 0

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

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

x-1/2 = 0

x-1/2 = 0 // + 1/2

x = 1/2

x in { 1/2} 

x belongs to the empty set

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