
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 set $A=\{x|(m-1)x^2+3x-2=0\}$.

(1) If set $A$ consists of two elements, find the range of the real number $m$.

(2) Is there such a real number $m$ that makes set $A$ have only two subsets? If it exists, find all the values of $m$ that form the set $M$; if it does not exist, please explain why.

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