10x-4/x^3-4x

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Solution for 10x-4/x^3-4x equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in (-oo:0) U (0:+oo)

10*x-(4*x)-(4/(x^3)) = 0

10*x-4*x-4*x^-3 = 0

6*x-4*x^-3 = 0

2*x*(3-2*x^-4) = 0

-2*x^-4 = -3 // : -2

x^-4 = 3/2

-4 < 0

1/(x^4) = 3/2 // * x^4

1 = 3/2*x^4 // : 3/2

2/3 = x^4

x^4 = 2/3 // ^ 1/4

abs(x) = (2/3)^(1/4)

x = (2/3)^(1/4) or x = -(2/3)^(1/4)

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

x in { (2/3)^(1/4), -(2/3)^(1/4) }

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