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D( x )
9*x^2+12*x = 0
9*x^2+12*x = 0
9*x^2+12*x = 0
9*x^2+12*x = 0
DELTA = 12^2-(0*4*9)
DELTA = 144
DELTA > 0
x = (144^(1/2)-12)/(2*9) or x = (-144^(1/2)-12)/(2*9)
x = 0 or x = -4/3
x in (-oo:-4/3) U (-4/3:0) U (0:+oo)
(3*x^2+7*x+4)*((x^2-(4*x))/(9*x^2+12*x)) = 0
(3*x^2+7*x+4)*((x^2-4*x)/(9*x^2+12*x)) = 0
((3*x^2+7*x+4)*(x^2-4*x))/(9*x^2+12*x) = 0
3*x^2+7*x+4 = 0
3*x^2+7*x+4 = 0
DELTA = 7^2-(3*4*4)
DELTA = 1
DELTA > 0
x = (1^(1/2)-7)/(2*3) or x = (-1^(1/2)-7)/(2*3)
x = -1 or x = -4/3
(x+4/3)*(x+1) = 0
x^2-4*x = 0
x*(x-4) = 0
x-4 = 0 // + 4
x = 4
x*(x-4) = 0
9*x^2+12*x = 0
3*x*(3*x+4) = 0
3*x+4 = 0 // - 4
3*x = -4 // : 3
x = -4/3
3*x*(x+4/3) = 0
(x*(x+4/3)*(x+1)*(x-4))/(3*x*(x+4/3)) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x+4/3 )
x+4/3 = 0 // - 4/3
x = -4/3
( x-4 )
x-4 = 0 // + 4
x = 4
( x )
x = 0
x in { -4/3}
x in { 0}
x in { -1, 4 }
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