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x in (-oo:+oo)
(1/2)*x*(x+3) = 44 // - 44
(1/2)*x*(x+3)-44 = 0
1/2*x*(x+3)-44 = 0
1/2*x*(x+3)-44 = 0
1/2*x^2+3/2*x-44 = 0
1/2*x^2+3/2*x-44 = 0
1/2*x^2+3/2*x-44 = 0
DELTA = (3/2)^2-(-44*1/2*4)
DELTA = 361/4
DELTA > 0
x = ((361/4)^(1/2)-3/2)/(1/2*2) or x = (-(361/4)^(1/2)-3/2)/(1/2*2)
x = 8 or x = -11
(x+11)*(x-8) = 0
(x+11)*(x-8) = 0
( x+11 )
x+11 = 0 // - 11
x = -11
( x-8 )
x-8 = 0 // + 8
x = 8
x in { -11, 8 }
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