We factor equations because that makes it easy to figure out what x is. If you did not know any algebra, and looked at an equation like
Ax^2 = Bx + C
it is not obvious what x can be. But if you factor it into
(x - D)(x - E) = 0
then if you know how zero multiplies, it is fairly clear that x must be D or E.
We factor equations because that makes it easy to figure out what x is. If you did not know any algebra, and looked at an equation like
Ax^2 = Bx + C
it is not obvious what x can be. But if you factor it into
(x - D)(x - E) = 0
then if you know how zero multiplies, it is fairly clear that x must be D or E.