
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
Solve for the smaller root of the quadratic equation:
$$ \left(x-\frac{4}{5}\right)\left(x-\frac{4}{5}\right) + \left(x-\frac{4}{5}\right)\left(x-\frac{2}{3}\right) + \frac{1}{15} = 0 $$
A) $\frac{11}{15}$
B) $\frac{4}{5}$
C) $\frac{5}{8}$
D) $1$

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