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## Homework Statement

This is for a physics problem. I need to solve this for d, but I'm not sure how.

## Homework Equations

## The Attempt at a Solution

I've gotten up to:

[itex]\frac{2d}{g} = (t - \frac{d}{v})^{2}[/itex]

When I multiply the right term out, it becomes a mess, everything I do makes it ugly. What should I try doing?

My main source of confusion is that multiplying that out gives me:

[itex]t^{2} - \frac{2dt}{v} + \frac{d^{2}}{v^{2}}[/itex]

While my solution manual gives the last term as:

(1+v^2)d^2.

Those are not the same. What gives?

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