We have to solve x(x-x) = (x+x)
(x-x)
First, if you see the terms on the left, you have
x*(x-x) . Now (x-x) =0 , and anything multiplied by zero is
zero.
Also, on the right side you have (x+x)*(x-x). Again
(x-x) =0, which makes (x+x)*(x-x) equal to zero.
It is not
possible for you to cancel terms that equal 0 on both the sides and try to equate the
terms that are left.
That is, you cannot divide both sides
of the equation x(x-x) = (x+x) (x-x) by (x-x) to get x= (x+x) as the division involves
dividing 0 by 0 which is not
defined.
Remember that 0/0 is not equal to 1
but it is not defined and hence the operation cannot be
performed.
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