
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 $z_{1}=-4a+1+(2a^{2}+3a)i$ and $z_{2}=2a+(a^{2}+a)i$, where $a\in\mathbb{R}$ and $z_{1} > z_{2}$, find the value of $a$.

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