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D( x )
2*x+6 = 0
2*x+6 = 0
2*x+6 = 0
2*x+6 = 0 // - 6
2*x = -6 // : 2
x = -6/2
x = -3
x in (-oo:-3) U (-3:+oo)
(8*x^3+20*x^2+36)/(2*x+6) = 0
8*x^3+20*x^2+36 = 0
4*(2*x^3+5*x^2+9) = 0
2*x^3+5*x^2+9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
2*x^3+5*x^2+9 = 16
1
-1
x = -1
2*x^3+5*x^2+9 = 12
-1
3
x = 3
2*x^3+5*x^2+9 = 108
3
-3
x = -3
2*x^3+5*x^2+9 = 0
-3
x+3
2*x^2-x+3
2*x^3+5*x^2+9
x+3
-2*x^3-6*x^2
9-x^2
x^2+3*x
3*x+9
-3*x-9
0
2*x^2-x+3 = 0
DELTA = (-1)^2-(2*3*4)
DELTA = -23
DELTA < 0
x in { -3}
4*(x+3) = 0
(4*(x+3))/(2*x+6) = 0
x+3 = 0 // - 3
x = -3
x in { -3}
x belongs to the empty set
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