Question 1146084
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Try to solve the equation


    {{{-16t^2 + 64t + 160}}} = 300.


It is equivalent to


    {{{16t^2 - 64t + 140}}} = 0.


Calculate its discriminant  d = {{{(-64)^2 - 4*16*140}}} = -4864.


The discriminant is a negative real number --  hence, the original equation HAS NO real solutions.


It is the answer to the problem's question.


There are other ways to answer this question, too.


But this one is a quickest.
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These words "close to the edge" were introduced into the problem formulation with the only goal to confuse the reader.


It is &nbsp;"pure US american" &nbsp;style formulating Math problems (to load them with excessive and unnecessary words).


In normal mathematical formulation, a professional and knowledgeable author never uses such tricks.


My advise to the author is to remove these words from the text.