
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
Determine the value of $t$ for which the quadratic equation $4x^2 - 16x - 448 = 0$ can be rewritten in the form $(x + m)^2 = t$, where $m$ and $t$ are constants, by completing the square.

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