
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
Xiao Ming mistakenly thought he was adding $2x^{2}-4x+7$ to a polynomial when he was actually subtracting it. The result he obtained was $6x^{2}-3x+5$. <br/>$(1)$ Find the correct answer. <br/>$(2)$ What is the value of this polynomial when $x=-2$?

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