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D( x )
1-(2*x) = 0
x-8 = 0
1-(2*x) = 0
1-(2*x) = 0
1-2*x = 0
1-2*x = 0 // - 1
-2*x = -1 // : -2
x = -1/(-2)
x = 1/2
x-8 = 0
x-8 = 0
x-8 = 0 // + 8
x = 8
x in (-oo:1/2) U (1/2:8) U (8:+oo)
(4*x-5)/(1-(2*x)) = (x+4)/(x-8) // - (x+4)/(x-8)
(4*x-5)/(1-(2*x))-((x+4)/(x-8)) = 0
(4*x-5)/(1-2*x)-((x+4)/(x-8)) = 0
(4*x-5)/(1-2*x)+(-1*(x+4))/(x-8) = 0
((4*x-5)*(x-8))/((1-2*x)*(x-8))+(-1*(x+4)*(1-2*x))/((1-2*x)*(x-8)) = 0
(4*x-5)*(x-8)-1*(x+4)*(1-2*x) = 0
6*x^2-30*x+36 = 0
6*x^2-30*x+36 = 0
6*(x^2-5*x+6) = 0
x^2-5*x+6 = 0
DELTA = (-5)^2-(1*4*6)
DELTA = 1
DELTA > 0
x = (1^(1/2)+5)/(1*2) or x = (5-1^(1/2))/(1*2)
x = 3 or x = 2
6*(x-2)*(x-3) = 0
(6*(x-2)*(x-3))/((1-2*x)*(x-8)) = 0
(6*(x-2)*(x-3))/((1-2*x)*(x-8)) = 0 // * (1-2*x)*(x-8)
6*(x-2)*(x-3) = 0
( x-2 )
x-2 = 0 // + 2
x = 2
( x-3 )
x-3 = 0 // + 3
x = 3
x in { 2, 3 }
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