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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x+(2/3)*x = 4/x+8/3 // - 4/x+8/3
3*x+(2/3)*x-(4/x)-(8/3) = 0
3*x+(2/3)*x-4*x^-1-8/3 = 0
11/3*x^1-4*x^-1-8/3*x^0 = 0
(11/3*x^2-8/3*x^1-4*x^0)/(x^1) = 0 // * x^2
x^1*(11/3*x^2-8/3*x^1-4*x^0) = 0
x^1
(11/3)*x^2+(-8/3)*x-4 = 0
(11/3)*x^2+(-8/3)*x-4 = 0
DELTA = (-8/3)^2-(-4*4*(11/3))
DELTA = 592/9
DELTA > 0
x = ((592/9)^(1/2)-(-8/3))/(2*(11/3)) or x = (-(-8/3)-(592/9)^(1/2))/(2*(11/3))
x = 3/22*((592/9)^(1/2)+8/3) or x = 3/22*(8/3-(592/9)^(1/2))
x in { 3/22*(8/3-(592/9)^(1/2)), 3/22*((592/9)^(1/2)+8/3)}
x in { 3/22*(8/3-(592/9)^(1/2)), 3/22*((592/9)^(1/2)+8/3) }
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