6x+24/x^2+4x

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Solution for 6x+24/x^2+4x equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

6*x+4*x+24/(x^2) = 0

10*x+24*x^-2 = 0

2*x*(12*x^-3+5) = 0

12*x^-3 = -5 // : 12

x^-3 = -5/12

-3 < 0

1/(x^3) = -5/12 // * x^3

1 = -5/12*x^3 // : -5/12

-12/5 = x^3

x^3 = -12/5 // ^ 1/3

x = -(12/5)^(1/3)

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

x = -(12/5)^(1/3)

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