
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
Reading material: When solving equations, consider a certain expression as a whole, use a new unknown to replace it, and simplify the equation. This is called the method of substitution. Read the following solution process first, then solve the equation below:<br/>
Example: Solve the equation $2\sqrt{x}-3=0$,<br/>
Solution: Let $\sqrt{x}=t$ ($t\geqslant 0$),<br/>
Therefore, the original equation can be simplified to $2t-3=0$,<br/>
Therefore, $t=\frac{3}{2}$, therefore, $\sqrt{x}=\frac{3}{2}$, so $x=\frac{9}{4}$,<br/>
Please use the method above to solve the equation: $x+2\sqrt{x}-8=0$．<br/>

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