(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)

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

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

4*x^-3-5/3*x = 0

x*(4*x^-4-5/3) = 0

4*x^-4 = 5/3 // : 4

x^-4 = 5/12

-4 < 0

1/(x^4) = 5/12 // * x^4

1 = 5/12*x^4 // : 5/12

12/5 = x^4

x^4 = 12/5 // ^ 1/4

abs(x) = (12/5)^(1/4)

x = (12/5)^(1/4) or x = -(12/5)^(1/4)

x = 0

x = 0

x in { 0} 

x in { (12/5)^(1/4), -(12/5)^(1/4) }

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