
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the ellipse $\frac{8x^{2}}{81} + \frac{y^{2}}{36} = 1$ and a point $M(x_{0}, y_{0})$ on it, with $x_{0} < 0$ and $y_{0} = 2$.
(1) Find the value of $x_{0}$;
(2) Find the equation of the ellipse passing through point $M$ and sharing the same foci with the ellipse $\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$.

Present the answer in LaTex format: \boxed{Your answer}
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