
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
In isosceles triangle $ABC$, the sides are $a$, $b$, and $c$, respectively, with $a=5$. If $b$ and $c$ are the two real roots of the equation $x^2 + (m+2)x + 6-m = 0$ with respect to $x$, find the value of $m$.

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