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a in (-oo:+oo)
37.5 = 30*a*((4-a)/4)+30*a // - 30*a*((4-a)/4)+30*a
37.5-(30*a*((4-a)/4))-(30*a) = 0
(-15/2)*a*(4-a)-30*a+37.5 = 0
37.5-15/2*a*(4-a)-30*a = 0
37.5-15/2*a*(4-a)-30*a = 0
15/2*a^2-60*a+37.5 = 0
15/2*a^2-60*a+37.5 = 0
15/2*a^2-60*a+37.5 = 0
DELTA = (-60)^2-(4*15/2*37.5)
DELTA = 2475
DELTA > 0
a = (2475^(1/2)+60)/(2*15/2) or a = (60-2475^(1/2))/(2*15/2)
a = (15*11^(1/2)+60)/15 or a = (60-15*11^(1/2))/15
(a-((60-15*11^(1/2))/15))*(a-((15*11^(1/2)+60)/15)) = 0
(a-((60-15*11^(1/2))/15))*(a-((15*11^(1/2)+60)/15)) = 0
( a-((15*11^(1/2)+60)/15) )
a-((15*11^(1/2)+60)/15) = 0 // + (15*11^(1/2)+60)/15
a = (15*11^(1/2)+60)/15
( a-((60-15*11^(1/2))/15) )
a-((60-15*11^(1/2))/15) = 0 // + (60-15*11^(1/2))/15
a = (60-15*11^(1/2))/15
a in { (15*11^(1/2)+60)/15, (60-15*11^(1/2))/15 }
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