8x-16/(x^2)-2x

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Solution for 8x-16/(x^2)-2x 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)

8*x-(2*x)-(16/(x^2)) = 0

8*x-2*x-16*x^-2 = 0

6*x-16*x^-2 = 0

2*x*(3-8*x^-3) = 0

-8*x^-3 = -3 // : -8

x^-3 = 3/8

-3 < 0

1/(x^3) = 3/8 // * x^3

1 = 3/8*x^3 // : 3/8

8/3 = x^3

x^3 = 8/3 // ^ 1/3

x = (8/3)^(1/3)

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

x = (8/3)^(1/3)

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