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