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D( x )
2-(3*x) = 0
2-(3*x) = 0
2-(3*x) = 0
2-3*x = 0
2-3*x = 0 // - 2
-3*x = -2 // : -3
x = -2/(-3)
x = 2/3
x in (-oo:2/3) U (2/3:+oo)
a/(2-(3*x)) = -2*x-27 // + -2*x-27
a/(2-(3*x))-(-2*x)+27 = 0
a/(2-3*x)+2*x+27 = 0
a/(2-3*x)+(2*x*(2-3*x))/(2-3*x)+(27*(2-3*x))/(2-3*x) = 0
2*x*(2-3*x)+27*(2-3*x)+a = 0
a-6*x^2+4*x-81*x+54 = 0
a-6*x^2-77*x+54 = 0
(a-6*x^2-77*x+54)/(2-3*x) = 0
(a-6*x^2-77*x+54)/(2-3*x) = 0 // * 2-3*x
a-6*x^2-77*x+54 = 0
a-6*x^2-77*x+54 = 0
DELTA = (-77)^2-(-6*4*(a+54))
DELTA = 24*(a+54)+5929
24*(a+54)+5929 = 0
24*(a+54)+5929 = 0
24*a+7225 = 0
24*a+7225 = 0
24*a+7225 = 0 // - 7225
24*a = -7225 // : 24
a = -7225/24
DELTA = 0 <=> t_3 = -7225/24
x = 77/(-6*2) i a = -7225/24
x = -77/12 i a = -7225/24
( x = ((24*(a+54)+5929)^(1/2)+77)/(-6*2) or x = (77-(24*(a+54)+5929)^(1/2))/(-6*2) ) i a > -7225/24
( x = ((24*(a+54)+5929)^(1/2)+77)/(-12) or x = (77-(24*(a+54)+5929)^(1/2))/(-12) ) i a > -7225/24
a-(-7225/24) > 0
a+7225/24 > 0
a+7225/24 > 0 // - 7225/24
a > -7225/24
x in { -77/12, ((24*(a+54)+5929)^(1/2)+77)/(-12), (77-(24*(a+54)+5929)^(1/2))/(-12) }
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