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D( x )
2*x^3+10*x^2+12*x = 0
2*x^3+10*x^2+12*x = 0
2*x^3+10*x^2+12*x = 0
2*x^3+10*x^2+12*x = 0
2*x*(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
x in (-oo:-3) U (-3:-2) U (-2:0) U (0:+oo)
(x^2+2*x)/(2*x^3+10*x^2+12*x) = 0
x^2+2*x = 0
x*(x+2) = 0
x+2 = 0 // - 2
x = -2
x*(x+2) = 0
2*x^3+10*x^2+12*x = 0
2*x*(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*(x+3)*(x+2) = 0
(x*(x+2))/(2*x*(x+3)*(x+2)) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x )
x = 0
x in { -2}
x in { 0}
x belongs to the empty set
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