[lepton]

Actually, doesn't dividing by zero yield an infinite value?

That's one way to interpret it. Another is that it simultaneously yields all values. Dividing both sides by zero lets you simply pick which ones.

[CharlesWayneCT]

In fact, nullity and zero are now two more factors which exist for ANY number, even prime numbers. Because for any number, nullity*0= that number.

Except that multiplication is now no longer a one-to-one function, since nullity*0 yields an infinite number of answers.

Also, any number divided by nullity is zero, but that isn't so problematic...

[Gaffer]

sin (X) / X = 1 as X approaches X=0 ......apparently not....

[OSHA]

Another is that it simultaneously yields all values. Dividing both sides by zero lets you simply pick which ones

Like this.

a = b
a^2 = a*b
a^2-b^2 = a*b-b^2
(a+b)(a-b) = b(a-b)
(a+b) = b
a+a = a
2a = a
2 = 1