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a in (-oo:+oo)
a*((2*(8-a))/3)+a+(7/2)*a = 10/9-a // - 10/9-a
a*((2*(8-a))/3)+a+(7/2)*a+a-(10/9) = 0
a*((2*(8-a))/3)+a+(7/2)*a+a-10/9 = 0
(2*a*(8-a))/3+a+(7*a)/2+a-10/9 = 0
(9*2^2*a*(8-a))/(2*3*9)+(2*3*9*a)/(2*3*9)+(3*7*9*a)/(2*3*9)+(2*3*9*a)/(2*3*9)+(-10*2*3)/(2*3*9) = 0
9*2^2*a*(8-a)+2*3*9*a+3*7*9*a+2*3*9*a-10*2*3 = 0
342*a-36*a^2+189*a+54*a-60 = 0
531*a-36*a^2+54*a-60 = 0
585*a-36*a^2-60 = 0
585*a-36*a^2-60 = 0
3*(195*a-12*a^2-20) = 0
195*a-12*a^2-20 = 0
DELTA = 195^2-(-20*(-12)*4)
DELTA = 37065
DELTA > 0
a = (37065^(1/2)-195)/(-12*2) or a = (-37065^(1/2)-195)/(-12*2)
a = (37065^(1/2)-195)/(-24) or a = (37065^(1/2)+195)/24
3*(a-((37065^(1/2)-195)/(-24)))*(a-((37065^(1/2)+195)/24)) = 0
(3*(a-((37065^(1/2)-195)/(-24)))*(a-((37065^(1/2)+195)/24)))/(2*3*9) = 0
(3*(a-((37065^(1/2)-195)/(-24)))*(a-((37065^(1/2)+195)/24)))/(2*3*9) = 0 // * 2*3*9
3*(a-((37065^(1/2)-195)/(-24)))*(a-((37065^(1/2)+195)/24)) = 0
( a-((37065^(1/2)+195)/24) )
a-((37065^(1/2)+195)/24) = 0 // + (37065^(1/2)+195)/24
a = (37065^(1/2)+195)/24
( a-((37065^(1/2)-195)/(-24)) )
a-((37065^(1/2)-195)/(-24)) = 0 // + (37065^(1/2)-195)/(-24)
a = (37065^(1/2)-195)/(-24)
a in { (37065^(1/2)+195)/24, (37065^(1/2)-195)/(-24) }
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