8x+(2/x^2)

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Solution for 8x+(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)

8*x+2/(x^2) = 0

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

2*x*(x^-3+4) = 0

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

x^-3 = -4

-3 < 0

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

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

-1/4 = x^3

x^3 = -1/4 // ^ 1/3

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

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

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

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