how do I solve for t when i am given:

5000 = 45t^2 + 240t + 450

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  1. change to
    45t^2 + 240t - 4550 = 0
    divide by 5
    9t^2 + 48t - 910 = 0

    with those numbers I would now use the formula.
    t = (-48 ± √35064)/18
    = appr. 7.736 or - 13.070

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