
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
Calculate:<br/>
(1) $x(x+6)=8(x+3)$;<br/>
(2) $\frac{3{a}^{2}-3{b}^{2}}{{a}^{2}b+a{b}^{2}}\div \left(1-\frac{{a}^{2}+{b}^{2}}{2ab}\right)$.

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