
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
Let $x$ be the average annual decrease rate of impoverished people in this region from the end of $2019$ to the end of $2021$. Given that the number of impoverished people decreased from $90,000$ to $10,000$ over this period, write the equation expressing the relationship between the initial number of impoverished people, the average annual decrease rate $x$, and the number of years.

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