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.