
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 equation about $x$, $(m^2-m)x^2-2mx+1=0$ has two distinct real roots.  
(1) Find the range of $m$;  
(2) If $m$ is an integer and $m<3$, and $a$ is one of the roots of the equation, find the value of the expression $2a^2-3a-3$.

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