
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 curve $C: y=2x^2-x^3$, and the point $P(0, -4)$. If a line $l$ passes through point $P$ and is tangent to curve $C$ at point $Q$, then the x-coordinate of point $Q$ is $\boxed{-1}$, and the equation of the tangent line is $\boxed{7x+y+4=0}$.

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