1/(x-1)=-2

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Solution for 1/(x-1)=-2 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)

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

1/(x-1)+2 = 0

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

2*(x-1)+1 = 0

2*x-1 = 0

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

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

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x = 1/2

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