
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
Let \\(a\\) be a real number, and the function \\(f(x)=x^{3}+ax^{2}+(a-3)x\\) has its derivative \\(f′(x)\\), and \\(f′(x)\\) is an even function. Then, the equation of the tangent line to the curve \\(y=f(x)\\) at the point \\((2,f(2))\\) is \_\_\_\_\_\_.

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