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D( x )
x^2+5*x+6 = 0
2*x = 0
x^2+5*x+6 = 0
x^2+5*x+6 = 0
x^2+5*x+6 = 0
DELTA = 5^2-(1*4*6)
DELTA = 1
DELTA > 0
x = (1^(1/2)-5)/(1*2) or x = (-1^(1/2)-5)/(1*2)
x = -2 or x = -3
2*x = 0
2*x = 0
2*x = 0 // : 2
x = 0
x in (-oo:-3) U (-3:-2) U (-2:0) U (0:+oo)
((x^3+3*x^2)/(2*x))*((5*x^3)/(x^2+5*x+6)) = 0
(5*x^3*(x^3+3*x^2))/(2*x*(x^2+5*x+6)) = 0
x^3+3*x^2 = 0
x^2*(x+3) = 0
x+3 = 0 // - 3
x = -3
x^2*(x+3) = 0
x^2+5*x+6 = 0
x^2+5*x+6 = 0
DELTA = 5^2-(1*4*6)
DELTA = 1
DELTA > 0
x = (1^(1/2)-5)/(1*2) or x = (-1^(1/2)-5)/(1*2)
x = -2 or x = -3
(x+3)*(x+2) = 0
(5*x^2*x^3*(x+3))/(2*x*(x+3)*(x+2)) = 0
( 5*x^3 )
5*x^3 = 0 // : 5
x^3 = 0
x = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x^2 )
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in { 0}
x in { -3}
x in { 0}
x belongs to the empty set
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