
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 function $f(x)=\begin{cases} -2,x > 0, \\ -x^{2}+bx+c,x\leqslant 0, \end{cases}$, if $f(0)=-2$, $f(-1)=1$, then the number of zeros of the function $g(x)=f(x)+x$ is ________.

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