
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
In the equation $\frac {x(x - 1) - (km + n)}{(x - 1)(m - 1)} = \frac {x}{m}$, the roots of $x$ are equal when
A) $\ m = -1.5 + \sqrt{2}$
B) $\ m = -1.5 - \sqrt{2}$
C) $\ m = 1 + \sqrt{2}$
D) $\ m = 1 - \sqrt{2}$

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