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D( x )
x+5 = 0
x = 0
x+5 = 0
x+5 = 0
x+5 = 0 // - 5
x = -5
x = 0
x = 0
x in (-oo:-5) U (-5:0) U (0:+oo)
4/x+2/x-5+5 = (32/(x+5))*(x-5) // - (32/(x+5))*(x-5)
4/x-((32/(x+5))*(x-5))+2/x-5+5 = 0
4/x-32*(x+5)^-1*(x-5)+2/x-5+5 = 0
(-32*(x-5))/(x+5)+4/x+2/x-5+5 = 0
(-32*x*(x-5))/(x*(x+5))+(4*(x+5))/(x*(x+5))+(2*(x+5))/(x*(x+5))+(-5*x*(x+5))/(x*(x+5))+(5*x*(x+5))/(x*(x+5)) = 0
4*(x+5)-32*x*(x-5)+2*(x+5)-5*x*(x+5)+5*x*(x+5) = 0
5*x^2-32*x^2-5*x^2+164*x+2*x-25*x+25*x+10+20 = 0
5*x^2-32*x^2-5*x^2+166*x-25*x+25*x+30 = 0
5*x^2-37*x^2+141*x+25*x+30 = 0
166*x-32*x^2+30 = 0
166*x-32*x^2+30 = 0
2*(83*x-16*x^2+15) = 0
83*x-16*x^2+15 = 0
DELTA = 83^2-(-16*4*15)
DELTA = 7849
DELTA > 0
x = (7849^(1/2)-83)/(-16*2) or x = (-7849^(1/2)-83)/(-16*2)
x = (7849^(1/2)-83)/(-32) or x = (7849^(1/2)+83)/32
2*(x-((7849^(1/2)-83)/(-32)))*(x-((7849^(1/2)+83)/32)) = 0
(2*(x-((7849^(1/2)-83)/(-32)))*(x-((7849^(1/2)+83)/32)))/(x*(x+5)) = 0
(2*(x-((7849^(1/2)-83)/(-32)))*(x-((7849^(1/2)+83)/32)))/(x*(x+5)) = 0 // * x*(x+5)
2*(x-((7849^(1/2)-83)/(-32)))*(x-((7849^(1/2)+83)/32)) = 0
( x-((7849^(1/2)+83)/32) )
x-((7849^(1/2)+83)/32) = 0 // + (7849^(1/2)+83)/32
x = (7849^(1/2)+83)/32
( x-((7849^(1/2)-83)/(-32)) )
x-((7849^(1/2)-83)/(-32)) = 0 // + (7849^(1/2)-83)/(-32)
x = (7849^(1/2)-83)/(-32)
x in { (7849^(1/2)+83)/32, (7849^(1/2)-83)/(-32) }
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