Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not

x = 4 (extraneous solution)

Step-by-step explanation:

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back , we will get two fractions with zero denominator which would be undefined.

3 is greater then both of those numbers

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation