
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 that the slopes $k_{1}$ and $k_{2}$ of the lines $l_{1}$ and $l_{2}$ are the two roots of the equation $2k^{2}-3k-b=0$ with respect to $k$, find the value of $b$ if $l_{1}\perp l_{2}$ and $b=$______; find the value of $b$ if $l_{1}$∥$l_{2}$ and $b=\_\_\_\_\_\_$.

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