7x+21/x^2+3x

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Solution for 7x+21/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)

7*x+3*x+21/(x^2) = 0

10*x+21*x^-2 = 0

x*(21*x^-3+10) = 0

21*x^-3 = -10 // : 21

x^-3 = -10/21

-3 < 0

1/(x^3) = -10/21 // * x^3

1 = -10/21*x^3 // : -10/21

-21/10 = x^3

x^3 = -21/10 // ^ 1/3

x = -(21/10)^(1/3)

x = 0

x = 0

x in { 0} 

x = -(21/10)^(1/3)

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