
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
Find the $\emph{positive}$ real number(s) $x$ such that $\frac{3}{5}\left( 2x^2-2 \right) = \left( x^2 - 40x - 8 \right)\left( x^2 + 20x + 4 \right)$.

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