Without actually solving the equation list all possible numb

Without actually solving the equation, list all possible numbers that would have to be rejected if they appeared as potential solutions. 1/x + 4 - 1/x - 2 =0

Solution

The denominators of both expressions cannot be zero,because 1/0 is not defined.

x+4 becomes zero when x=-4

x-2 becomes zero when x=2

so we have to reject x=-4 ans x=2 if they appear as potential solutions