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D( n )
4*n+8 = 0
n^2+2*n = 0
4*n+8 = 0
4*n+8 = 0
4*n+8 = 0 // - 8
4*n = -8 // : 4
n = -8/4
n = -2
n^2+2*n = 0
n^2+2*n = 0
n^2+2*n = 0
DELTA = 2^2-(0*1*4)
DELTA = 4
DELTA > 0
n = (4^(1/2)-2)/(1*2) or n = (-4^(1/2)-2)/(1*2)
n = 0 or n = -2
n in (-oo:-2) U (-2:0) U (0:+oo)
(n+4)/(4*n+8)+1/(n^2+2*n) = 0
n^2+2*n = 0
n^2+2*n = 0
n*(n+2) = 0
n+2 = 0 // - 2
n = -2
n*(n+2) = 0
(n+4)/(4*n+8)+1/(n*(n+2)) = 0
(n*(n+4)*(n+2))/(n*(4*n+8)*(n+2))+(1*(4*n+8))/(n*(4*n+8)*(n+2)) = 0
n*(n+4)*(n+2)+1*(4*n+8) = 0
n^3+6*n^2+12*n+8 = 0
n^3+6*n^2+12*n+8 = 0
n^3+6*n^2+12*n+8 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8 }
1
n = 1
n^3+6*n^2+12*n+8 = 27
1
-1
n = -1
n^3+6*n^2+12*n+8 = 1
-1
2
n = 2
n^3+6*n^2+12*n+8 = 64
2
-2
n = -2
n^3+6*n^2+12*n+8 = 0
-2
n+2
n^2+4*n+4
n^3+6*n^2+12*n+8
n+2
-n^3-2*n^2
4*n^2+12*n+8
-4*n^2-8*n
4*n+8
-4*n-8
0
n^2+4*n+4 = 0
DELTA = 4^2-(1*4*4)
DELTA = 0
n = -4/(1*2)
n = -2 or n = -2
n in { -2, -2, -2}
(n+2)^3 = 0
((n+2)^3)/(n*(4*n+8)*(n+2)) = 0
((n+2)^3)/(n*(4*n+8)*(n+2)) = 0 // * n*(4*n+8)*(n+2)
(n+2)^3 = 0
n+2 = 0 // - 2
n = -2
n in { -2}
n belongs to the empty set
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