Dividing by variable when solving algebraic equation

[robvalue]

For anyone who hasn't yet seen the huge problem with the divide by zero error, and the fact that you can't say 0/0 = 1:

3 * 0 = 2 * 0 [this is true, both sides are just 0]

(3 * 0) / 0 = (2 * 0) / 0

3 * (0 / 0) = 2 * (0 / 0)

[this is a legitimate rearrangement; the order you multiply and divide doesn't matter]

3 * 1 = 2 * 1

3 = 2 = Pope = Squirrel

Obviously if it can produce incorrect results, it's not valid. So you simply can't divide by zero; the rules of mathematics forbid it.