
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 a line segment $AB$ with endpoints $A$ and $B$ moving along the $x$-axis and $y$-axis respectively, and the length of $AB$ being 5, if $\overrightarrow{OM} = \frac{3}{5}\overrightarrow{OA} + \frac{2}{5}\overrightarrow{OB}$, find the equation of the trajectory of point $M$.

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