
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
$(1)$ Below is the process of solving an equation by student Xiao Hong. Please read carefully and complete the corresponding tasks.  
$3\left(x-4\right)=\left(x-4\right)^{2}$  
Solution: $3\left(x-4\right)-\left(x-4\right)^{2}=0$. Step 1  
$(x-4)\left(3-x-4\right)=0$. Step 2  
Therefore, $x-4=0$ or $3-x-4=0$. Step 3  
Solving gives $x_{1}=4$, $x_{2}=-1$. Step 4  
Task 1:  
Fill in the blanks:  
1. The name of the transformation in the first step of the above solution process is ______;  
2. The error starts to appear in step ______, and the reason for the error is ______;  
Task 2:  
Please write down the correct solution of the equation directly: ______.  
$(2)$ Solve the equation using the formula: $3x^{2}+2x-3=0$.

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