6x-18/x^2-3x

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Solution for 6x-18/x^2-3x 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)

6*x-(3*x)-(18/(x^2)) = 0

6*x-3*x-18*x^-2 = 0

3*x-18*x^-2 = 0

3*x*(1-6*x^-3) = 0

-6*x^-3 = -1 // : -6

x^-3 = 1/6

-3 < 0

1/(x^3) = 1/6 // * x^3

1 = 1/6*x^3 // : 1/6

6 = x^3

x^3 = 6 // ^ 1/3

x = 6^(1/3)

3*x = 0

3*x = 0 // : 3

x = 0

x in { 0} 

x = 6^(1/3)

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