Answer
No solution
Work Step by Step
Original Equation
$\frac{1}{a-3}$ + $\frac{2}{a+3}$ = $\frac{1}{a^{2}-9}$
Multiply equation by the LCD, (a-3)(a+3)
a+3+2(a-3) = 1
Simplify
3a = 9
Divide by 3
a=3
However, x=3 would make the denominator equal 0, so there is no solution.