To find the undefined value for the expression \( 22 = 4 + 5x \cdot 9x - 6 \), we first simplify the expression on the right side:
\[
22 = 4 + 5x \cdot 9x - 6
\]
This simplifies to:
\[
22 = 4 - 6 + 45x^2
\]
\[
22 = -2 + 45x^2
\]
Next, we can solve for \( x \) by isolating \( 45x^2 \):
\[
22 + 2 = 45x^2
\]
\[
24 = 45x^2
\]
Now, divide both sides by 45 to solve for \( x^2 \):
\[
x^2 = \frac{24}{45}
\]
Next, we simplify \( \frac{24}{45} \):
\[
x^2 = \frac{8}{15}
\]
Taking the square root of both sides gives us:
\[
x = \pm \sqrt{\frac{8}{15}} = \pm \frac{2\sqrt{2}}{\sqrt{15}}
\]
Finally, we can rationalize the denominator:
\[
x = \pm \frac{2\sqrt{30}}{15}
\]
Therefore, the undefined values could depend on the context of the original expression, but based on this calculation, the precise answer relating to these calculations is the values of \( x \):
The undefined values are:
\[
x = \pm \frac{2\sqrt{30}}{15}
\]
If you meant something else by "undefined value," please clarify the context or the nature of the undefined situation.