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

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Solution for 3/2x=1/4x-1/x^2 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)

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

(3/2)*x-((1/4)*x)+1/(x^2) = 0

(3/2)*x+(-1/4)*x+1/(x^2) = 0

5/4*x+x^-2 = 0

x*(x^-3+5/4) = 0

1*x^-3 = -5/4 // : 1

x^-3 = -5/4

-3 < 0

1/(x^3) = -5/4 // * x^3

1 = -5/4*x^3 // : -5/4

-4/5 = x^3

x^3 = -4/5 // ^ 1/3

x = -(4/5)^(1/3)

x = 0

x = 0

x in { 0} 

x = -(4/5)^(1/3)

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