Find all real values of $x$ such that \frac{x^2 + 2x + 5}{3x^2 - x - 4} + \frac{x^2 + 4x + 8}{x^2 - 4x - 5} \ge 0.
Note: Your solution should be thorough, and explain why all your values are the only values that satisfy the inequality.
+1678 
