
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
In solving a quadratic equation, one student erroneously calculates the constant term and obtains roots of 5 and 3. Another student inaccurately determines the coefficient of the $x$ term, finding the roots to be -12 and -4. Identify the correct quadratic equation:
**A)** $x^2 - 8x + 48 = 0$  
**B)** $x^2 - 8x - 48 = 0$  
**C)** $x^2 + 8x + 48 = 0$  
**D)** $x^2 + 8x - 48 = 0$  
**E)** $x^2 - 10x + 48 = 0$

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