What are the solutions to the equation? \( x=-6 \) and \( x=-\frac{2}{3} \) \( x=-6 \) and \( x=\frac{2}{3} \) \( x=6 \) and \( x=\frac{2}{3} \)

To solve for the values of \( x \) in an equation, we typically set it to zero and factor it. If you've narrowed down the solutions as potential pairs, it might be helpful to substitute these values back into the original equation to check if they indeed satisfy it. Testing all options can help clear up any confusion! When working with equations that produce quadratic or linear results, remember to remember the signs and how they affect the answers. A common mistake is overlooking negative signs or miscalculating the roots. Always double-check each solution to see if it holds true in the original equation!