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[Mighty Midget]

Originally Posted by Eagle of Fire

I am certainly not a mathematician nor even have higher grades in them... But as far as I am concerned, any division can't equal 0...

Some can. 0/x = 0 if x /= 0

As for the original equation:

Havell is right, you messed up the second line by saying

(x+x-x)/x = 0

If x+x = x*x, then x+x-x = x^2-x

x = x^2-x

0 = x^2-2x

x^2-2x = 0

x(x-2) = 0 which is possible when and only when x = 0 OR x-2 = 0. The answer is

x = 0 OR x = 2

x = 1 is not a solution.

1+1 = 2

1*1 = 1

1+1 /= 1*1

[dosraider]

Originally Posted by Mighty Midget

Some can. 0/x = 0 if x /= 0

Know the basics:
http://en.wikipedia.org/wiki/Division_by_zero

Hmmmm, maybe something simplier will be understandable:

Therefore, it is not allowed to divide by zero, because the result is undefined.

http://simple.wikipedia.org/wiki/Division_by_zero

[Mighty Midget]

Well, I did say x unequaled zero...

x(x-2) = 0 which is possible when and only when x = 0 OR x-2 = 0.

This is because two numbers multiplied giving zero as the result, is possible only if one or both numbers are zero. This in turn means that either x has to be zero or x-2 has to be zero.