
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 a quadratic equation in terms of $x$: $x^{2}-(2m-3)x+m^{2}=0$ with two roots $x_{1}$ and $x_{2}$.  
$(1)$ Find the range of values for $m$.  
$(2)$ If $x_{1}+x_{2}=-x_{1}x_{2}$, find the value of $m$.

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