Let $P$ be a point on the hyperbola $x^2 + 8xy + 7y^2 = 225.$  Find the shortest possible distance from the origin to $P.$
Question:
Let $P$ be a point on the hyperbola $x^2 + 8xy + 7y^2 = 225.$  Find the shortest possible distance from the origin to $P.$
Answer:
Let's think step by step.

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Let $P$ be a point on the hyperbola $x^2 + 8xy + 7y^2 = 225.$  Find the shortest possible distance from the origin to $P.$
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