
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
Let the roots of the equation $2x^2 - 5x + 3 = 0$ be $\alpha$ and $\beta$. Construct the equation whose roots are $2\alpha - 7$ and $2\beta - 7$.
A) $x^2 + 9x + 20 =0$
B) $x^2 + 9x - 20 =0$
C) $x^2 - 9x + 20 =0$
D) $x^2 - 9x - 20 =0$
E) $x^2 - 5x + 3 =0$

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