1. The problem requires us to first equate $f(x)$ and $g(x)$, then solve the equation $f(x) + g(x) = 0$ for problem #2. 2. Step 1: Equate $f(x) = g(x)$. 3. Step 2: From this equation, find the values of $x$ that satisfy the equality. 4. Step 3: The additional equation given is $f(x) + g(x) = 0$. We need to solve this to find the values of $x$ where the sum of $f(x)$ and $g(x)$ equals zero. 5. Step 4: Substitute wherever possible to solve both equations. Since the explicit forms of $f(x)$ and $g(x)$ are not provided, please provide them to continue solving. Final answer depends on $f(x)$ and $g(x)$ expressions.