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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)
(x-2)/(x+4) = 1/x // - 1/x
(x-2)/(x+4)-(1/x) = 0
(x-2)/(x+4)-x^-1 = 0
(x-2)/(x+4)-1/x = 0
(x*(x-2))/(x*(x+4))+(-1*(x+4))/(x*(x+4)) = 0
x*(x-2)-1*(x+4) = 0
x^2-3*x-4 = 0
x^2-3*x-4 = 0
x^2-3*x-4 = 0
DELTA = (-3)^2-(-4*1*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)+3)/(1*2) or x = (3-25^(1/2))/(1*2)
x = 4 or x = -1
(x+1)*(x-4) = 0
((x+1)*(x-4))/(x*(x+4)) = 0
((x+1)*(x-4))/(x*(x+4)) = 0 // * x*(x+4)
(x+1)*(x-4) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-4 )
x-4 = 0 // + 4
x = 4
x in { -1, 4 }
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