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.
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