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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3/x-6 = (5/3)*x // - (5/3)*x
3/x-((5/3)*x)-6 = 0
(-5/3)*x+3/x-6 = 0
3*x^-1-5/3*x^1-6*x^0 = 0
(3*x^0-5/3*x^2-6*x^1)/(x^1) = 0 // * x^2
x^1*(3*x^0-5/3*x^2-6*x^1) = 0
x^1
(-5/3)*x^2-6*x+3 = 0
(-5/3)*x^2-6*x+3 = 0
DELTA = (-6)^2-(3*4*(-5/3))
DELTA = 56
DELTA > 0
x = (56^(1/2)+6)/(2*(-5/3)) or x = (6-56^(1/2))/(2*(-5/3))
x = -3/10*(2*14^(1/2)+6) or x = -3/10*(6-2*14^(1/2))
x in { -3/10*(2*14^(1/2)+6), -3/10*(6-2*14^(1/2))}
x in { -3/10*(2*14^(1/2)+6), -3/10*(6-2*14^(1/2)) }
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