
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
There is a vertically oriented parabola given by \( y = 25 \frac{1}{\mathrm{m}} \cdot x^{2} \). At the focus, there is an electric charge of \( Q_{1} = 10^{-7} \) coulombs. A small ball with a mass of \( 0.72 \mathrm{~g} \) and an electric charge of \( Q_{2} = 2 \cdot 10^{-8} \mathrm{C} \) can slide without friction along the parabola. Where is the equilibrium position of the ball?

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