64x-(180/x^2)

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Solution for 64x-(180/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)

64*x-(180/(x^2)) = 0

64*x-180*x^-2 = 0

64*x-180*x^-2 = 0

4*x*(16-45*x^-3) = 0

-45*x^-3 = -16 // : -45

x^-3 = 16/45

-3 < 0

1/(x^3) = 16/45 // * x^3

1 = 16/45*x^3 // : 16/45

45/16 = x^3

x^3 = 45/16 // ^ 1/3

x = (45/16)^(1/3)

4*x = 0

4*x = 0 // : 4

x = 0

x in { 0} 

x = (45/16)^(1/3)

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