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x in (-oo:+oo)
x*((10*(x-1))/2)+10 = 0
(10*x*(x-1))/2+10 = 0
(10*x*(x-1))/2+(2*10)/2 = 0
10*x*(x-1)+2*10 = 0
10*x^2-10*x+20 = 0
10*x^2-10*x+20 = 0
10*(x^2-x+2) = 0
x^2-x+2 = 0
DELTA = (-1)^2-(1*2*4)
DELTA = 1-8
DELTA = -7
DELTA < 0
10 = 0
10/2 = 0
10/2 = 0 // * 2
10 = 0
x belongs to the empty set
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