
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 quadratic equation in terms of $x$: $x^2 + (2m + 1)x + m^2 + 2 = 0$, which has two equal real roots,
(1) Find the value of $m$;
(2) Determine through which quadrants the line $y = (2m - 3)x - 4m + 6$ passes.

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