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x in (-oo:+oo)
x*((x-5)/2)+x*((x+1)/2) = 0
(x*(x-5))/2+(x*(x+1))/2 = 0
x*(x-5)+x*(x+1) = 0
2*x^2-4*x = 0
2*x^2-4*x = 0
2*x*(x-2) = 0
x-2 = 0 // + 2
x = 2
2*x*(x-2) = 0
(2*x*(x-2))/2 = 0
(2*x*(x-2))/2 = 0 // * 2
2*x*(x-2) = 0
( 2*x )
2*x = 0 // : 2
x = 0
( x-2 )
x-2 = 0 // + 2
x = 2
x in { 0, 2 }
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