You don't. That expression can not be factored. You can see that by observing that the only factors of the last term, 1 and 5, can not be added or subtracted from each other in any way that gives a sum of 10 (the coefficient of the middle term).
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(x - 5)(x - 5)
the only thing you can do to this is factor it... (x + 5)(x + 5) x=-5
x2 + 10y + 25 doesn't factor neatly. If that was x2 + 10x + 25, it would factor to (x + 5)(x + 5) or (X + 5)2
(x - 5)(x - 5)
(x+5)^2 and therefore x = -5