
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 inequality regarding $x$, $(m-1)x^2 + (m-1)x + 2 > 0$,
$(1)$ If $m=0$, find the solution set of the inequality.
$(2)$ If the solution set of the inequality is $\mathbb{R}$, find the range of values of $m$.

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