
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
Solve the equations $\left(1\right)$ and answer $\left(3\right)$:<br/>$(1)x^{2}=x+12$;<br/>$(2)2\left(x+3\right)^{2}=x\left(x+3\right)$;<br/>$(3)$If the constant term of the one-variable quadratic equation $\left(m-1\right)x^{2}-x+m^{2}-m=0$ is $0$, what is the value of $m$?

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