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D( x )
x = 0
x^2-25 = 0
x = 0
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 (-5:0) U (0:5) U (5:+oo)
(2*x-10)/(x^2-25) = 1/x // - 1/x
(2*x-10)/(x^2-25)-(1/x) = 0
(2*x-10)/(x^2-25)-x^-1 = 0
(2*x-10)/(x^2-25)-1/x = 0
(x*(2*x-10))/(x*(x^2-25))+(-1*(x^2-25))/(x*(x^2-25)) = 0
x*(2*x-10)-1*(x^2-25) = 0
x^2-10*x+25 = 0
x^2-10*x+25 = 0
x^2-10*x+25 = 0
DELTA = (-10)^2-(1*4*25)
DELTA = 0
x = 10/(1*2)
x = 5 or x = 5
(x-5)^2 = 0
((x-5)^2)/(x*(x^2-25)) = 0
((x-5)^2)/(x*(x^2-25)) = 0 // * x*(x^2-25)
(x-5)^2 = 0
x-5 = 0 // + 5
x = 5
x in { 5}
x belongs to the empty set
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