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D( x )
2*x+3 = 0
2*x+3 = 0
2*x+3 = 0
2*x+3 = 0 // - 3
2*x = -3 // : 2
x = -3/2
x in (-oo:-3/2) U (-3/2:+oo)
(4*x^2-(4*x)+6)/(2*x+3) = 0
(4*x^2-4*x+6)/(2*x+3) = 0
4*x^2-4*x+6 = 0
2*(2*x^2-2*x+3) = 0
2*x^2-2*x+3 = 0
DELTA = (-2)^2-(2*3*4)
DELTA = -20
DELTA < 0
2 = 0
2/(2*x+3) = 0
x belongs to the empty set
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