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x in (-oo:+oo)
((10000/3)*x+40000)*(24-x)+6*((10000/3)*x+40000) = 0
(10000/3*x+40000)*(24-x)+6*(10000/3*x+40000) = 0
(10000/3*x+40000)*(24-x)+6*(10000/3*x+40000) = 0
60000*x-10000/3*x^2+1200000 = 0
60000*x-10000/3*x^2+1200000 = 0
10000*(6*x-1/3*x^2+120) = 0
6*x-1/3*x^2+120 = 0
DELTA = 6^2-(-1/3*4*120)
DELTA = 196
DELTA > 0
x = (196^(1/2)-6)/(-1/3*2) or x = (-196^(1/2)-6)/(-1/3*2)
x = -12 or x = 30
10000*(x+12)*(x-30) = 0
10000*(x+12)*(x-30) = 0
( x+12 )
x+12 = 0 // - 12
x = -12
( x-30 )
x-30 = 0 // + 30
x = 30
x in { -12, 30 }
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