(30/x^3)=(5/x^2)

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Solution for (30/x^3)=(5/x^2) equation: 


D( x )

x^3 = 0

x^2 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

30/(x^3) = 5/(x^2) // - 5/(x^2)

30/(x^3)-(5/(x^2)) = 0

30/(x^3)-5*x^-2 = 0

30*x^-3-5*x^-2 = 0

(30*x^0-5*x^1)/(x^3) = 0 // * x^6

x^3*(30*x^0-5*x^1) = 0

x^3

30-5*x = 0

-5*x^1 = -30 // : -5

x^1 = 6

x = 6

x in { 6} 

x = 6

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