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D( x )
x+5 = 0
x^2-25 = 0
x+5 = 0
x+5 = 0
x+5 = 0 // - 5
x = -5
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 (-5:5) U (5:+oo)
(4*x)/(x^2-25) = 20/(x^2-25)-(4/(x+5)) // - 20/(x^2-25)-(4/(x+5))
(4*x)/(x^2-25)-(20/(x^2-25))+4/(x+5) = 0
(4*x)/(x^2-25)-20*(x^2-25)^-1+4/(x+5) = 0
(4*x)/(x^2-25)-20/(x^2-25)+4/(x+5) = 0
(4*x*(x+5))/((x^2-25)*(x+5))+(-20*(x+5))/((x^2-25)*(x+5))+(4*(x^2-25))/((x^2-25)*(x+5)) = 0
4*x*(x+5)-20*(x+5)+4*(x^2-25) = 0
4*x^2+4*x^2-100-100 = 0
8*x^2-200 = 0
(8*x^2-200)/((x^2-25)*(x+5)) = 0
(8*x^2-200)/((x^2-25)*(x+5)) = 0 // * (x^2-25)*(x+5)
8*x^2-200 = 0
8*x^2 = 200 // : 8
x^2 = 25
x^2 = 25 // ^ 1/2
abs(x) = 5
x = 5 or x = -5
x in { 5}
x in { -5}
x belongs to the empty set
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