
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
(1) Solve the equation: $2x^2-4x-6=0$;
(2) Solve the equation: $(x-2)^2=8-x$;
(3) Calculate: $\sqrt{ \frac {25}{9}}+\left( \frac {27}{64} \right)^{- \frac {1}{3}}-\pi^0$;
(4) Calculate: $\lg \frac {1}{2}-\lg \frac {5}{8}+\lg 12.5-\log_{8}9 \cdot \log_{9}8$.

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