2/5x-4/(3x^2)

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Solution for 2/5x-4/(3x^2) equation: 


D( x )

3*x^2 = 0

3*x^2 = 0

3*x^2 = 0

3*x^2 = 0 // : 3

x^2 = 0

x = 0

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

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

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

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

2*x*(1/5-2/3*x^-3) = 0

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

x^-3 = 3/10

-3 < 0

1/(x^3) = 3/10 // * x^3

1 = 3/10*x^3 // : 3/10

10/3 = x^3

x^3 = 10/3 // ^ 1/3

x = (10/3)^(1/3)

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

x = (10/3)^(1/3)

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