4/x^3-2x-1/3x

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Solution for 4/x^3-2x-1/3x equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

4/(x^3)-(2*x)-((1/3)*x) = 0

(-1/3)*x-2*x+4/(x^3) = 0

4*x^-3-7/3*x = 0

x*(4*x^-4-7/3) = 0

4*x^-4 = 7/3 // : 4

x^-4 = 7/12

-4 < 0

1/(x^4) = 7/12 // * x^4

1 = 7/12*x^4 // : 7/12

12/7 = x^4

x^4 = 12/7 // ^ 1/4

abs(x) = (12/7)^(1/4)

x = (12/7)^(1/4) or x = -(12/7)^(1/4)

x = 0

x = 0

x in { 0} 

x in { (12/7)^(1/4), -(12/7)^(1/4) }

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