Answer
No solution
Work Step by Step
Original Equation
$\frac{1}{x-4}$ = $\frac{8}{x^{2}-16}$
Multiply equation by the LCD, (x+4)(x-4) to get rid of denominators
x+4 = 8
Subtract 4
x=4
However, x=4 would make the denominators equal 0, so there is no solution.