
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
The equation is given $x^2-(m+3)x+m+2=0$ .
If  $x_1$  and  $x_2$  are its solutions find all  $m$  such that  $\frac{x_1}{x_1+1}+\frac{x_2}{x_2+1}=\frac{13}{10}$ .


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