
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
Determine the larger root of the equation \[ \left( x-\frac{2}{3} \right)\left( x-\frac{2}{3} \right) + 2\left( x-\frac{2}{3} \right)\left( x-\frac{4}{5} \right) = 0. \]
**A)** $\frac{2}{3}$   
**B)** $\frac{14}{15}$  
**C)** $\frac{3}{4}$  
**D)** $\frac{5}{8}$  
**E)** $1$

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