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x in (-oo:+oo)
24 = (1/2)*x*(x-2) // - (1/2)*x*(x-2)
24-((1/2)*x*(x-2)) = 0
(-1/2)*x*(x-2)+24 = 0
24-1/2*x*(x-2) = 0
24-1/2*x*(x-2) = 0
x-1/2*x^2+24 = 0
x-1/2*x^2+24 = 0
x-1/2*x^2+24 = 0
DELTA = 1^2-(-1/2*4*24)
DELTA = 49
DELTA > 0
x = (49^(1/2)-1)/(-1/2*2) or x = (-49^(1/2)-1)/(-1/2*2)
x = -6 or x = 8
(x+6)*(x-8) = 0
(x+6)*(x-8) = 0
( x+6 )
x+6 = 0 // - 6
x = -6
( x-8 )
x-8 = 0 // + 8
x = 8
x in { -6, 8 }
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