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To determine the undefined values for the equation \( 14 = \frac{7x}{9 + 4x} \), we need to identify when the denominator is equal to zero, since division by zero is undefined.
The denominator is \( 9 + 4x \). Set it equal to zero and solve for \( x \):
\[
9 + 4x = 0
\]
\[
4x = -9
\]
\[
x = -\frac{9}{4}
\]
Thus, the value that makes the equation undefined is \( x = -\frac{9}{4} \).
The answer is: **x ne -9/4**.