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X in (-oo:+oo)
(X-(3/2))^2-(16/25) = 0
(X-3/2)^2-16/25 = 0
(25*(X-3/2)^2)/25-16/25 = 0
25*(X-3/2)^2-16 = 0
25*X^2-75*X+161/4 = 0
25*X^2-75*X+161/4 = 0
25*X^2-75*X+161/4 = 0
DELTA = (-75)^2-(4*25*161/4)
DELTA = 1600
DELTA > 0
X = (1600^(1/2)+75)/(2*25) or X = (75-1600^(1/2))/(2*25)
X = 23/10 or X = 7/10
(X-7/10)*(X-23/10) = 0
((X-7/10)*(X-23/10))/25 = 0
((X-7/10)*(X-23/10))/25 = 0 // * 25
(X-7/10)*(X-23/10) = 0
( X-23/10 )
X-23/10 = 0 // + 23/10
X = 23/10
( X-7/10 )
X-7/10 = 0 // + 7/10
X = 7/10
X in { 23/10, 7/10 }
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