What is the undefined value for 22=4+5x9x−6

To solve the equation \( 22 = 4 + 5x \cdot 9x - 6 \) for \( x \), we first rearrange it:

1. Combine like terms on the right side of the equation:
\[
22 = 4 - 6 + 5x \cdot 9x
\]
\[
22 = -2 + 45x^2
\]

2. Add 2 to both sides:
\[
22 + 2 = 45x^2
\]
\[
24 = 45x^2
\]

3. Divide both sides by 45 to isolate \( x^2 \):
\[
x^2 = \frac{24}{45}
\]

4. Simplify the fraction:
\[
x^2 = \frac{8}{15}
\]

Next, to find the undefined value for \( x \), we need to determine the square root of both sides:
\[
x = \pm \sqrt{\frac{8}{15}} = \pm \frac{2\sqrt{2}}{\sqrt{15}} = \pm \frac{2\sqrt{30}}{15}
\]

The expression for undefined values could refer to values that make any terms undefined. However, from the context given, it looks like this is simply about solving the equation and identifying potential null values.

Given that \( x \) is in the square root context, there aren't any real or rational numbers making the original equation undefined. Here, we simply conclude that

The undefined value in terms of the potential context of negative results from squaring is simply \( \pm \sqrt{\frac{8}{15}} \).

Thus, we focus on the value being undefined, where usually divide by zero occurs, or terms leading to composition errors (like log of a negative).

There isn’t a typical “undefined” value in this case from our algebra.

The expression cannot strictly become undefined through standard algebraic manipulation unless division by zero occurs, - which we do not have here.

However, if you mean the "undefined" representation and contextual analysis being suspected internally to the signature values, we could represent:

The undefined value is \( \frac{\sqrt{8}}{\sqrt{15}} \). If presented in reduced fraction form, focusing on core variables and roots.

Nonetheless, due to lack clear framing of expectation in contextualizing, it is best to follow up on clarification if the assumptions here lead near another intend.