
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 $f(x)$, if there exists an $x\_0∈R$ such that $f(x\_0)=x\_0$ holds, then $x\_0$ is called a fixed point of the function $f(x)$. For the function $f(x)=x^{2}+bx+c$

1. If $f(x)$ has two fixed points, $-3$ and $2$, find the zeros of the function $y=f(x)$?
2. If $c= \frac {b^{2}}{4}$ and the function $f(x)$ has no fixed points, find the range of values for the real number $b$?

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