2x-6/x^2-3x

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Solution for 2x-6/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)

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

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

-x-6*x^-2 = 0

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

-x = 0

-1*x = 0 // : -1

x = 0

x in { 0} 

x = -6^(1/3)

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