
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]


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Given \( f(x) \) is a function from \( \mathbf{R} \) to \( \mathbf{R} \), and for any real numbers, it holds that $$f(x^{2}+x) + 2 f(x^{2}-3x+2) = 9x^{2} - 15x,$$ find the value of \( f(50) \).

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