32/x^3+8x

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Solution for 32/x^3+8x 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)

8*x+32/(x^3) = 0

8*x+32*x^-3 = 0

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

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

x^-4 = -1/4

-4 < 0

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

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

-4 = x^4

8*x = 0

8*x = 0 // : 8

x = 0

x in { 0} 

x belongs to the empty set

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