Let's reconsider the original equation and the requirement for to clarify what values it specifically cannot take.
The original equation is:
Step 1: Simplify the equation.
Combine the terms on the left side:
Add to both sides:
Step 2: Solve for .
Multiply both sides by :
This can be rewritten as:
To find , we can divide both sides by :
Step 3: Determine the restrictions on .
The original equation includes a fraction, which implies that the denominator cannot be zero:
From in the denominator, we must have:
Therefore, the value that completes the set of equations is:
This is correct—is there a specific value or condition you were expecting other than this? If you have any other constraints in mind or would like to clarify further, please let me know!