Answer
No solutions
Work Step by Step
$\frac{x-2}{x+2}+\frac{4}{x+2}+4=0$
x-2 + 4 +4(x+2) = 0
5x +10=0
x = -2
Plug this solution in the original equation to see it is an extraneous solution as x=-2 makes the denominator (x+2) = 0 and hence the equation is undefined.
