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x in (-oo:+oo)
(1/2)*(4-(2*x))^2-(2*x) = 0
(1/2)*(4-2*x)^2-2*x = 0
1/2*(4-2*x)^2-2*x = 0
1/2*(4-2*x)^2-2*x = 0
2*x^2-10*x+8 = 0
2*x^2-10*x+8 = 0
2*(x^2-5*x+4) = 0
x^2-5*x+4 = 0
DELTA = (-5)^2-(1*4*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)+5)/(1*2) or x = (5-9^(1/2))/(1*2)
x = 4 or x = 1
2*(x-1)*(x-4) = 0
2*(x-1)*(x-4) = 0
( 2 )
2 = 0
x belongs to the empty set
( x-1 )
x-1 = 0 // + 1
x = 1
( x-4 )
x-4 = 0 // + 4
x = 4
x in { 1, 4 }
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