x+(32/x^2)=0

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Solution for x+(32/x^2)=0 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)

x+32/(x^2) = 0

x+32*x^-2 = 0

x*(32*x^-3+1) = 0

32*x^-3 = -1 // : 32

x^-3 = -1/32

-3 < 0

1/(x^3) = -1/32 // * x^3

1 = -1/32*x^3 // : -1/32

-32 = x^3

x^3 = -32 // ^ 1/3

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

x = 0

x = 0

x in { 0} 

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

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