(5/3x-2)=(2/x+4)

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Solution for (5/3x-2)=(2/x+4) equation: 


D( x )

x = 0

x = 0

x = 0

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

(5/3)*x-2 = 2/x+4 // - 2/x+4

(5/3)*x-(2/x)-4-2 = 0

(5/3)*x-2*x^-1-4-2 = 0

5/3*x^1-2*x^-1-6*x^0 = 0

(5/3*x^2-6*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(5/3*x^2-6*x^1-2*x^0) = 0

x^1

(5/3)*x^2-6*x-2 = 0

(5/3)*x^2-6*x-2 = 0

DELTA = (-6)^2-(-2*4*(5/3))

DELTA = 148/3

DELTA > 0

x = ((148/3)^(1/2)+6)/(2*(5/3)) or x = (6-(148/3)^(1/2))/(2*(5/3))

x = 3/10*((148/3)^(1/2)+6) or x = 3/10*(6-(148/3)^(1/2))

x in { 3/10*(6-(148/3)^(1/2)), 3/10*((148/3)^(1/2)+6)} 

x in { 3/10*(6-(148/3)^(1/2)), 3/10*((148/3)^(1/2)+6) }

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