
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
Estimate the approximate value of one solution of the equation $x^{2}+2x=6$ based on the table.<br/>

| $x$   | $1.63$ | $1.64$ | $1.65$ | $1.66$ | $\ldots $ |
|-------|--------|--------|--------|--------|-----------|
| $x^{2}+2x$ | $5.9169$ | $5.9696$ | $6.0225$ | $6.0756$ | $\ldots $ |

According to the table above, find an approximate value of a solution of the equation $x^{2}+2x=6$ to be ______$. (Round to $0.01$)

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