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

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

x*(15*x^-3+8) = 0

15*x^-3 = -8 // : 15

x^-3 = -8/15

-3 < 0

1/(x^3) = -8/15 // * x^3

1 = -8/15*x^3 // : -8/15

-15/8 = x^3

x^3 = -15/8 // ^ 1/3

x = -(15/8)^(1/3)

x = 0

x = 0

x in { 0} 

x = -(15/8)^(1/3)

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