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D( x )
x^2-4 = 0
5*x^2-(25*x) = 0
x^2-25 = 0
x^2-4 = 0
x^2-4 = 0
1*x^2 = 4 // : 1
x^2 = 4
x^2 = 4 // ^ 1/2
abs(x) = 2
x = 2 or x = -2
5*x^2-(25*x) = 0
5*x^2-(25*x) = 0
5*x^2-25*x = 0
5*x^2-25*x = 0
DELTA = (-25)^2-(0*4*5)
DELTA = 625
DELTA > 0
x = (625^(1/2)+25)/(2*5) or x = (25-625^(1/2))/(2*5)
x = 5 or x = 0
x^2-25 = 0
x^2-25 = 0
1*x^2 = 25 // : 1
x^2 = 25
x^2 = 25 // ^ 1/2
abs(x) = 5
x = 5 or x = -5
x in (-oo:-5) U (-5:-2) U (-2:0) U (0:2) U (2:5) U (5:+oo)
(((((4*x-8)/(x^2-4))*(x+2))/(5*x^2-(25*x)))/28)/(x^2-25) = 0
(((((4*x-8)/(x^2-4))*(x+2))/(5*x^2-25*x))/28)/(x^2-25) = 0
((4*x-8)*(x+2))/(28*(x^2-4)*(5*x^2-25*x)*(x^2-25)) = 0
5*x^2-25*x = 0
5*x*(x-5) = 0
x-5 = 0 // + 5
x = 5
5*x*(x-5) = 0
((4*x-8)*(x+2))/(5*28*x*(x^2-4)*(x-5)*(x^2-25)) = 0
( 4*x-8 )
4*x-8 = 0 // + 8
4*x = 8 // : 4
x = 8/4
x = 2
( x+2 )
x+2 = 0 // - 2
x = -2
x in { 2}
x in { -2}
x belongs to the empty set
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