8/5x-4/x^2

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Solution for 8/5x-4/x^2 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)

(8/5)*x-(4/(x^2)) = 0

(8/5)*x-4*x^-2 = 0

8/5*x-4*x^-2 = 0

4*x*(2/5-x^-3) = 0

-1*x^-3 = -2/5 // : -1

x^-3 = 2/5

-3 < 0

1/(x^3) = 2/5 // * x^3

1 = 2/5*x^3 // : 2/5

5/2 = x^3

x^3 = 5/2 // ^ 1/3

x = (5/2)^(1/3)

4*x = 0

4*x = 0 // : 4

x = 0

x in { 0} 

x = (5/2)^(1/3)

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