4x+12/x^2+3x

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Solution for 4x+12/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)

4*x+3*x+12/(x^2) = 0

7*x+12*x^-2 = 0

x*(12*x^-3+7) = 0

12*x^-3 = -7 // : 12

x^-3 = -7/12

-3 < 0

1/(x^3) = -7/12 // * x^3

1 = -7/12*x^3 // : -7/12

-12/7 = x^3

x^3 = -12/7 // ^ 1/3

x = -(12/7)^(1/3)

x = 0

x = 0

x in { 0} 

x = -(12/7)^(1/3)

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