1/(1-x)-1=y

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


D( x )

1-x = 0

1-x = 0

1-x = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

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

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

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

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

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

x+x*y-y-1+1 = 0

x+x*y-y = 0

x+x*y-y = 0

x-y = 0 // + y

x = y

x-y = 0

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

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

x-y = 0

x-y = 0 // + y

x = y

x = y

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