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D( a )
a-2 = 0
a-2 = 0
a-2 = 0
a-2 = 0 // + 2
a = 2
a in (-oo:2) U (2:+oo)
(((3*a+1)*(a-2))/(a-2))*(a-3)-((((3*a+1)*(a+2))/2)*(a-3)) = 0
(3*a+1)*(a-3)+(-1*(3*a+1)*(a+2)*(a-3))/2 = 0
(2*(3*a+1)*(a-3))/2+(-1*(3*a+1)*(a+2)*(a-3))/2 = 0
2*(3*a+1)*(a-3)-1*(3*a+1)*(a+2)*(a-3) = 0
8*a^2-3*a^3+3*a = 0
8*a^2-3*a^3+3*a = 0
a*(8*a-3*a^2+3) = 0
8*a-3*a^2+3 = 0
DELTA = 8^2-(-3*3*4)
DELTA = 100
DELTA > 0
a = (100^(1/2)-8)/(-3*2) or a = (-100^(1/2)-8)/(-3*2)
a = -1/3 or a = 3
a*(a+1/3)*(a-3) = 0
(a*(a+1/3)*(a-3))/2 = 0
(a*(a+1/3)*(a-3))/2 = 0 // * 2
a*(a+1/3)*(a-3) = 0
( a+1/3 )
a+1/3 = 0 // - 1/3
a = -1/3
( a-3 )
a-3 = 0 // + 3
a = 3
( a )
a = 0
a in { -1/3, 3, 0 }
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