(9x^3-6x+45x^2-30)/(x+5)

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Solution for (9x^3-6x+45x^2-30)/(x+5) equation:


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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