
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 quadratic equation in $x$: $x^{2}+2(k-1)x+k^{2}-1=0$, which has two unequal real roots.
1. Find the range of values for the real number $k$.
2. Is it possible for $0$ to be a root of the equation? If so, find the other root; if not, explain why.

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