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x in (-oo:+oo)
(3*x-2)^2 = 1/4 // - 1/4
(3*x-2)^2-(1/4) = 0
(3*x-2)^2-1/4 = 0
(4*(3*x-2)^2)/4-1/4 = 0
4*(3*x-2)^2-1 = 0
36*x^2-48*x+15 = 0
36*x^2-48*x+15 = 0
3*(12*x^2-16*x+5) = 0
12*x^2-16*x+5 = 0
DELTA = (-16)^2-(4*5*12)
DELTA = 16
DELTA > 0
x = (16^(1/2)+16)/(2*12) or x = (16-16^(1/2))/(2*12)
x = 5/6 or x = 1/2
3*(x-1/2)*(x-5/6) = 0
(3*(x-1/2)*(x-5/6))/4 = 0
(3*(x-1/2)*(x-5/6))/4 = 0 // * 4
3*(x-1/2)*(x-5/6) = 0
( 3 )
3 = 0
x belongs to the empty set
( x-1/2 )
x-1/2 = 0 // + 1/2
x = 1/2
( x-5/6 )
x-5/6 = 0 // + 5/6
x = 5/6
x in { 1/2, 5/6 }
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