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D( x )
2*x+8 = 0
2*x+8 = 0
2*x+8 = 0
2*x+8 = 0 // - 8
2*x = -8 // : 2
x = -8/2
x = -4
x in (-oo:-4) U (-4:+oo)
(4*x^3+15*x^2+8*x+48)/(2*x+8) = 0
4*x^3+15*x^2+8*x+48 = 0
4*x^3+15*x^2+8*x+48 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 16, -16, 24, -24, 48, -48 }
1
x = 1
4*x^3+15*x^2+8*x+48 = 75
1
-1
x = -1
4*x^3+15*x^2+8*x+48 = 51
-1
2
x = 2
4*x^3+15*x^2+8*x+48 = 156
2
-2
x = -2
4*x^3+15*x^2+8*x+48 = 60
-2
3
x = 3
4*x^3+15*x^2+8*x+48 = 315
3
-3
x = -3
4*x^3+15*x^2+8*x+48 = 51
-3
4
x = 4
4*x^3+15*x^2+8*x+48 = 576
4
-4
x = -4
4*x^3+15*x^2+8*x+48 = 0
-4
x+4
4*x^2-x+12
4*x^3+15*x^2+8*x+48
x+4
-4*x^3-16*x^2
8*x-x^2+48
x^2+4*x
12*x+48
-12*x-48
0
4*x^2-x+12 = 0
DELTA = (-1)^2-(4*4*12)
DELTA = -191
DELTA < 0
x in { -4}
x+4 = 0
(x+4)/(2*x+8) = 0
x+4 = 0 // - 4
x = -4
x in { -4}
x belongs to the empty set
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