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D( x )
x+4 = 0
x = 0
x+4 = 0
x+4 = 0
x+4 = 0 // - 4
x = -4
x = 0
x = 0
x in (-oo:-4) U (-4:0) U (0:+oo)
2/(x+4)+1/x = 0.5 // - 0.5
2/(x+4)+1/x-0.5 = 0
(2*x)/(x*(x+4))+(1*(x+4))/(x*(x+4))+(-0.5*x*(x+4))/(x*(x+4)) = 0
1*(x+4)-0.5*x*(x+4)+2*x = 0
3*x-0.5*x^2-2*x+4 = 0
x-0.5*x^2+4 = 0
x-0.5*x^2+4 = 0
x-0.5*x^2+4 = 0
DELTA = 1^2-(-0.5*4*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)-1)/(-0.5*2) or x = (-9^(1/2)-1)/(-0.5*2)
x = -2 or x = 4
(x+2)*(x-4) = 0
((x+2)*(x-4))/(x*(x+4)) = 0
((x+2)*(x-4))/(x*(x+4)) = 0 // * x*(x+4)
(x+2)*(x-4) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x-4 )
x-4 = 0 // + 4
x = 4
x in { -2, 4 }
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