
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
【Example】Solve the equation $\left(x-1\right)^{2}-5\left(x-1\right)+4=0$.  
Solution: Let $x-1=y$,  
then the original equation can be transformed into $y^{2}-5y+4=0$.  
Solving, we get $y_{1}=1$, $y_{2}=4$.  
When $y=1$, i.e., $x-1=1$, we get $x=2$;  
When $y=4$, i.e., $x-1=4$, we get $x=5$.  
Therefore, the solutions to the original equation are $x_{1}=2$, $x_{2}=5$.  
The above method is called "overall substitution method".  
Please use the "overall substitution method" to solve the equation: $\left(2x-5\right)^{2}-2\left(2x-5\right)-3=0$.

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