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w in (-oo:+oo)
24 = ((1/3)*w+w+4)^2 // - ((1/3)*w+w+4)^2
24-((1/3)*w+w+4)^2 = 0
24-1*(4/3*w+4)^2 = 0
24-1*(4/3*w+4)^2 = 0
8-16/9*w^2-32/3*w = 0
8-16/9*w^2-32/3*w = 0
8*(1-2/9*w^2-4/3*w) = 0
1-2/9*w^2-4/3*w = 0
DELTA = (-4/3)^2-(-2/9*1*4)
DELTA = 8/3
DELTA > 0
w = ((8/3)^(1/2)+4/3)/(-2/9*2) or w = (4/3-(8/3)^(1/2))/(-2/9*2)
w = -9/4*((8/3)^(1/2)+4/3) or w = -9/4*(4/3-(8/3)^(1/2))
8*(w+9/4*((8/3)^(1/2)+4/3))*(w+9/4*(4/3-(8/3)^(1/2))) = 0
8*(w+9/4*((8/3)^(1/2)+4/3))*(w+9/4*(4/3-(8/3)^(1/2))) = 0
( w+9/4*((8/3)^(1/2)+4/3) )
w+9/4*((8/3)^(1/2)+4/3) = 0 // - 9/4*((8/3)^(1/2)+4/3)
w = -(9/4*((8/3)^(1/2)+4/3))
w = -9/4*((8/3)^(1/2)+4/3)
( w+9/4*(4/3-(8/3)^(1/2)) )
w+9/4*(4/3-(8/3)^(1/2)) = 0 // - 9/4*(4/3-(8/3)^(1/2))
w = -(9/4*(4/3-(8/3)^(1/2)))
w = -9/4*(4/3-(8/3)^(1/2))
w in { -9/4*((8/3)^(1/2)+4/3), -9/4*(4/3-(8/3)^(1/2)) }
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