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a in (-oo:+oo)
4*((3*(a+4))/6)*(2*a-3) = 61/2 // - 61/2
4*((3*(a+4))/6)*(2*a-3)-(61/2) = 0
4*((3*(a+4))/6)*(2*a-3)-61/2 = 0
(3*4*(a+4)*(2*a-3))/6-61/2 = 0
(2*3*4*(a+4)*(2*a-3))/(2*6)+(-61*6)/(2*6) = 0
2*3*4*(a+4)*(2*a-3)-61*6 = 0
48*a^2+120*a-654 = 0
48*a^2+120*a-654 = 0
6*(8*a^2+20*a-109) = 0
8*a^2+20*a-109 = 0
DELTA = 20^2-(-109*4*8)
DELTA = 3888
DELTA > 0
a = (3888^(1/2)-20)/(2*8) or a = (-3888^(1/2)-20)/(2*8)
a = (36*3^(1/2)-20)/16 or a = (-36*3^(1/2)-20)/16
6*(a-((-36*3^(1/2)-20)/16))*(a-((36*3^(1/2)-20)/16)) = 0
(6*(a-((-36*3^(1/2)-20)/16))*(a-((36*3^(1/2)-20)/16)))/(2*6) = 0
(6*(a-((-36*3^(1/2)-20)/16))*(a-((36*3^(1/2)-20)/16)))/(2*6) = 0 // * 2*6
6*(a-((-36*3^(1/2)-20)/16))*(a-((36*3^(1/2)-20)/16)) = 0
( a-((-36*3^(1/2)-20)/16) )
a-((-36*3^(1/2)-20)/16) = 0 // + (-36*3^(1/2)-20)/16
a = (-36*3^(1/2)-20)/16
( a-((36*3^(1/2)-20)/16) )
a-((36*3^(1/2)-20)/16) = 0 // + (36*3^(1/2)-20)/16
a = (36*3^(1/2)-20)/16
a in { (-36*3^(1/2)-20)/16, (36*3^(1/2)-20)/16 }
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