5x-15/x^2-3x

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Solution for 5x-15/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)

5*x-(3*x)-(15/(x^2)) = 0

5*x-3*x-15*x^-2 = 0

2*x-15*x^-2 = 0

x*(2-15*x^-3) = 0

-15*x^-3 = -2 // : -15

x^-3 = 2/15

-3 < 0

1/(x^3) = 2/15 // * x^3

1 = 2/15*x^3 // : 2/15

15/2 = x^3

x^3 = 15/2 // ^ 1/3

x = (15/2)^(1/3)

x = 0

x = 0

x in { 0} 

x = (15/2)^(1/3)

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