2x-72/x^3=0

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Solution for 2x-72/x^3=0 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)

2*x-(72/(x^3)) = 0

2*x-72*x^-3 = 0

2*x-72*x^-3 = 0

2*x*(1-36*x^-4) = 0

-36*x^-4 = -1 // : -36

x^-4 = 1/36

-4 < 0

1/(x^4) = 1/36 // * x^4

1 = 1/36*x^4 // : 1/36

36 = x^4

x^4 = 36 // ^ 1/4

abs(x) = 36^(1/4)

x = 36^(1/4) or x = -36^(1/4)

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

x in { 36^(1/4), -36^(1/4) }

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