X/2a=4a/x+2a

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Solution for X/2a=4a/x+2a equation: 


D( x )

x = 0

x = 0

x = 0

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

(X/2)*a = (4*a)/x+2*a // - (4*a)/x+2*a

(X/2)*a-((4*a)/x)-(2*a) = 0

(X/2)*a-4*a*x^-1-2*a = 0

-4*a*x^-1 = -(1/2*X*a-2*a) // : -4*a

x^-1 = (1/4)*a^-1*(1/2*X*a-2*a)

-1 < 0

1/(x^1) = (1/4)*a^-1*(1/2*X*a-2*a) // * x^1

1 = (1/4)*a^-1*x^1*(1/2*X*a-2*a) // : (1/4)*a^-1*(1/2*X*a-2*a)

4*a*(1/2*X*a-2*a)^-1 = x^1

x = 4*a*(1/2*X*a-2*a)^-1

x = 4*a*(1/2*X*a-2*a)^-1

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