b/(b-1)-1/(2-2b)

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Solution for b/(b-1)-1/(2-2b) equation: 


D( b )

2-(2*b) = 0

b-1 = 0

2-(2*b) = 0

2-(2*b) = 0

2-2*b = 0

2-2*b = 0 // - 2

-2*b = -2 // : -2

b = -2/(-2)

b = 1

b-1 = 0

b-1 = 0

b-1 = 0 // + 1

b = 1

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

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

b/(b-1)-(2-2*b)^-1 = 0

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

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

b*(2-2*b)-1*(b-1) = 0

b-2*b^2+1 = 0

b-2*b^2+1 = 0

b-2*b^2+1 = 0

DELTA = 1^2-(-2*1*4)

DELTA = 9

DELTA > 0

b = (9^(1/2)-1)/(-2*2) or b = (-9^(1/2)-1)/(-2*2)

b = -1/2 or b = 1

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

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

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

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

( b+1/2 )

b+1/2 = 0 // - 1/2

b = -1/2

( b-1 )

b-1 = 0 // + 1

b = 1

b in { 1} 

b = -1/2

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