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D( x )
x+5 = 0
x+5 = 0
x+5 = 0
x+5 = 0 // - 5
x = -5
x in (-oo:-5) U (-5:+oo)
(9*x^3+45*x^2-(6*x)-30)/(x+5) = 0
(9*x^3+45*x^2-6*x-30)/(x+5) = 0
9*x^3+45*x^2-6*x-30 = 0
3*(3*x^3+15*x^2-2*x-10) = 0
3*x^3+15*x^2-2*x-10
3*x^2*(x+5)-2*x-10
3*x^2*(x+5)-2*(x+5)
(3*x^2-2)*(x+5)
3*(3*x^2-2)*(x+5) = 0
3*(3*x^2-2) = 0
3*x^2 = 2 // : 3
x^2 = 2/3
x^2 = 2/3 // ^ 1/2
abs(x) = (2/3)^(1/2)
x = (2/3)^(1/2) or x = -(2/3)^(1/2)
x in { (2/3)^(1/2), -(2/3)^(1/2) }
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