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x in (-oo:+oo)
(1/2)*x^2+3*x-4 = -4 // + 4
(1/2)*x^2+3*x-4+4 = 0
1/2*x^2+3*x = 0
DELTA = 3^2-(0*1/2*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)-3)/(1/2*2) or x = (-9^(1/2)-3)/(1/2*2)
x = 0 or x = -6
x in { -6, 0 }
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