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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)
(84/(x+5))*(x-5)+6/x+2/x-5+5 = 0
(84*(x-5))/(x+5)+6/x+2/x-5+5 = 0
(84*x*(x-5))/(x*(x+5))+(6*(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
84*x*(x-5)+6*(x+5)+2*(x+5)-5*x*(x+5)+5*x*(x+5) = 0
84*x^2-5*x^2+5*x^2-414*x+2*x-25*x+25*x+10+30 = 0
84*x^2-5*x^2+5*x^2-412*x-25*x+25*x+40 = 0
79*x^2+5*x^2-437*x+25*x+40 = 0
84*x^2-412*x+40 = 0
84*x^2-412*x+40 = 0
4*(21*x^2-103*x+10) = 0
21*x^2-103*x+10 = 0
DELTA = (-103)^2-(4*10*21)
DELTA = 9769
DELTA > 0
x = (9769^(1/2)+103)/(2*21) or x = (103-9769^(1/2))/(2*21)
x = (9769^(1/2)+103)/42 or x = (103-9769^(1/2))/42
4*(x-((103-9769^(1/2))/42))*(x-((9769^(1/2)+103)/42)) = 0
(4*(x-((103-9769^(1/2))/42))*(x-((9769^(1/2)+103)/42)))/(x*(x+5)) = 0
(4*(x-((103-9769^(1/2))/42))*(x-((9769^(1/2)+103)/42)))/(x*(x+5)) = 0 // * x*(x+5)
4*(x-((103-9769^(1/2))/42))*(x-((9769^(1/2)+103)/42)) = 0
( x-((103-9769^(1/2))/42) )
x-((103-9769^(1/2))/42) = 0 // + (103-9769^(1/2))/42
x = (103-9769^(1/2))/42
( x-((9769^(1/2)+103)/42) )
x-((9769^(1/2)+103)/42) = 0 // + (9769^(1/2)+103)/42
x = (9769^(1/2)+103)/42
x in { (103-9769^(1/2))/42, (9769^(1/2)+103)/42 }
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