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D( x )
x+3 = 0
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-3) U (-3:+oo)
(5*x^3+5*x^2+90)/(x+3) = 0
5*x^3+5*x^2+90 = 0
5*(x^3+x^2+18) = 0
x^3+x^2+18 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18 }
1
x = 1
x^3+x^2+18 = 20
1
-1
x = -1
x^3+x^2+18 = 18
-1
2
x = 2
x^3+x^2+18 = 30
2
-2
x = -2
x^3+x^2+18 = 14
-2
3
x = 3
x^3+x^2+18 = 54
3
-3
x = -3
x^3+x^2+18 = 0
-3
x+3
x^2-2*x+6
x^3+x^2+18
x+3
-x^3-3*x^2
18-2*x^2
2*x^2+6*x
6*x+18
-6*x-18
0
x^2-2*x+6 = 0
DELTA = (-2)^2-(1*4*6)
DELTA = -20
DELTA < 0
x in { -3}
5*(x+3) = 0
5 = 0
x belongs to the empty set
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