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x in (-oo:+oo)
(2*x-1)^2 = 9/4 // - 9/4
(2*x-1)^2-(9/4) = 0
(2*x-1)^2-9/4 = 0
(4*(2*x-1)^2)/4-9/4 = 0
4*(2*x-1)^2-9 = 0
16*x^2-16*x-5 = 0
16*x^2-16*x-5 = 0
16*x^2-16*x-5 = 0
DELTA = (-16)^2-(-5*4*16)
DELTA = 576
DELTA > 0
x = (576^(1/2)+16)/(2*16) or x = (16-576^(1/2))/(2*16)
x = 5/4 or x = -1/4
(x+1/4)*(x-5/4) = 0
((x+1/4)*(x-5/4))/4 = 0
((x+1/4)*(x-5/4))/4 = 0 // * 4
(x+1/4)*(x-5/4) = 0
( x+1/4 )
x+1/4 = 0 // - 1/4
x = -1/4
( x-5/4 )
x-5/4 = 0 // + 5/4
x = 5/4
x in { -1/4, 5/4 }
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