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To find the undefined value in the equation
\[
22 = \frac{4 + 5x}{9x - 6},
\]
we need to determine when the denominator is equal to zero because division by zero is undefined.
Set the denominator to zero:
\[
9x - 6 = 0.
\]
Now, solve for \(x\):
\[
9x = 6,
\]
\[
x = \frac{6}{9} = \frac{2}{3}.
\]
Thus, the undefined value for the equation is
\[
\frac{2}{3}.
\]