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

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Solution for x-2/(2x^2)^2=0 equation: 


D( x )

(2*x^2)^2 = 0

(2*x^2)^2 = 0

(2*x^2)^2 = 0

4*x^4 = 0 // : 4

x^4 = 0

x = 0

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

x-(2/((2*x^2)^2)) = 0

x-2*(2*x^2)^-2 = 0

x-1/2*x^-4 = 0

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

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

x^-5 = 2

-5 < 0

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

1 = 2*x^5 // : 2

1/2 = x^5

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

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

x = 0

x = 0

x in { 0} 

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

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