0=6-384/x^3

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Solution for 0=6-384/x^3 equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

0 = 6-(384/(x^3)) // - 6-(384/(x^3))

384/(x^3)-6+0 = 0

384/(x^3)-6 = 0

384*x^-3 = 6 // : 384

x^-3 = 1/64

-3 < 0

1/(x^3) = 1/64 // * x^3

1 = 1/64*x^3 // : 1/64

64 = x^3

x^3 = 64 // ^ 1/3

x = 4

x = 4

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