To determine the undefined value for the equation \(14 = 7x9 + 4x\), let's first rewrite the equation correctly:
The term \(7x9\) can be interpreted in two ways depending on the context, but assuming you meant \(7 \times 9\):
So, we rewrite the equation as:
\[ 14 = 63 + 4x \]
Now, let's isolate \(x\):
\[ 14 - 63 = 4x \]
\[ -49 = 4x \]
\[ x = -\frac{49}{4} \]
However, in such equations, finding undefined values typically involves denominators. If we have an expression where \(x\) could lead to division by zero, then the values that make the denominators zero would be the undefined values.
Since the equation as presented does not actually create any denominators, there are no undefined values derived from the equation itself. None of the options directly relate to this context.
However, if the intention was related to the simplification of the equation leading to values preventing valid solutions, we are not provided with a context that leads to any of the proposed options being valid.
Based on the answers given, it seems like the most contextually appropriate answer regarding the undefined value would typically involve avoiding \(x = 0\) in polynomial division or forms. However, since this equation doesn't seem to lead to division, all options provided lack direct relevance.
Therefore, it can be inferred that the closest suitable answer in terms of typical undefined conditions would be:
x ≠ 0 (since it is common for equations to not allow zero in denominators, but in this case, it does not apply. Still, for the sake of choosing an answer, this might be suggested.)
So, the response would be x ≠ 0.