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x in (-oo:+oo)
(x-(2/3))*(x-(3/4)) = 5/24 // - 5/24
(x-(2/3))*(x-(3/4))-(5/24) = 0
(x-2/3)*(x-3/4)-5/24 = 0
(24*(x-2/3)*(x-3/4))/24-5/24 = 0
24*(x-2/3)*(x-3/4)-5 = 0
24*x^2-34*x+7 = 0
24*x^2-34*x+7 = 0
24*x^2-34*x+7 = 0
DELTA = (-34)^2-(4*7*24)
DELTA = 484
DELTA > 0
x = (484^(1/2)+34)/(2*24) or x = (34-484^(1/2))/(2*24)
x = 7/6 or x = 1/4
(x-1/4)*(x-7/6) = 0
((x-1/4)*(x-7/6))/24 = 0
((x-1/4)*(x-7/6))/24 = 0 // * 24
(x-1/4)*(x-7/6) = 0
( x-1/4 )
x-1/4 = 0 // + 1/4
x = 1/4
( x-7/6 )
x-7/6 = 0 // + 7/6
x = 7/6
x in { 1/4, 7/6 }
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