YOu're flying blind. You are trying to solve a cubic without plotting it. Therefore you have no way of knowing whether there are, in fact, any solutions close to your guess value, or even within the range of interest.
In fact, your cubic is essentially linear and has a solution that is fairly large and negative.
You also have a scale problem. The values for your cubic are huge. Large enough (in the default units) that for i=1 it is not possible to reduce its value to be within CTOL.
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� � � � Tom Gutman