8x-48/x^2-6x

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Solution for 8x-48/x^2-6x 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)

8*x-(6*x)-(48/(x^2)) = 0

8*x-6*x-48*x^-2 = 0

2*x-48*x^-2 = 0

2*x*(1-24*x^-3) = 0

-24*x^-3 = -1 // : -24

x^-3 = 1/24

-3 < 0

1/(x^3) = 1/24 // * x^3

1 = 1/24*x^3 // : 1/24

24 = x^3

x^3 = 24 // ^ 1/3

x = 2*3^(1/3)

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

x = 2*3^(1/3)

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