I'm having real trouble solving this equation for t using any algebraic method that I've learnt for quadratic equations.

I can't figure out how to put it into the quadratic formula simply for the fact that i can't get any of the variables by themself on either side of the equation to set as x.

The steps I've tried so far in order to rearrange for t are:

add 8t^2 to both sides

divide both sides by t

take d/t away from both sides

and here is where i lose track, because i figure out that i can't rearrange for t at all. i've considered converting d/t into V (final velocity) but i can't see that helping much.

Any suggestions would be much appreciated.