(5/x^2)/(25/2)-(x/2)

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Solution for (5/x^2)/(25/2)-(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)

(5/(x^2))/(25/2)-(x/2) = 0

2/5*x^-2-1/2*x = 0

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

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

x^-3 = 5/4

-3 < 0

1/(x^3) = 5/4 // * x^3

1 = 5/4*x^3 // : 5/4

4/5 = x^3

x^3 = 4/5 // ^ 1/3

x = (4/5)^(1/3)

x = 0

x = 0

x in { 0} 

x = (4/5)^(1/3)

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