0=6x-(48/x^3)

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Solution for 0=6x-(48/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*x-(48/(x^3)) // - 6*x-(48/(x^3))

48/(x^3)-(6*x)+0 = 0

48/(x^3)-6*x = 0

48*x^-3-6*x = 0

6*x*(8*x^-4-1) = 0

8*x^-4 = 1 // : 8

x^-4 = 1/8

-4 < 0

1/(x^4) = 1/8 // * x^4

1 = 1/8*x^4 // : 1/8

8 = x^4

x^4 = 8 // ^ 1/4

abs(x) = 8^(1/4)

x = 8^(1/4) or x = -8^(1/4)

6*x = 0

6*x = 0 // : 6

x = 0

x in { 0} 

x in { 8^(1/4), -8^(1/4) }

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