0=2x-320/x^2

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Solution for 0=2x-320/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)

0 = 2*x-(320/(x^2)) // - 2*x-(320/(x^2))

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

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

320*x^-2-2*x = 0

2*x*(160*x^-3-1) = 0

160*x^-3 = 1 // : 160

x^-3 = 1/160

-3 < 0

1/(x^3) = 1/160 // * x^3

1 = 1/160*x^3 // : 1/160

160 = x^3

x^3 = 160 // ^ 1/3

x = 2*20^(1/3)

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

x = 2*20^(1/3)

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