SOLUTION: please solve this equation x^2e^-2x -xe^-2x -6=0

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Question 918074: please solve this equation
x^2e^-2x -xe^-2x -6=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Graphing the equation, you get,
graph%28300%2C300%2C-10%2C10%2C-20%2C20%2Cx%5E2%2Ae%5E%28-2x%29-x%2Ae%5E%28-2x%29-6%29
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graph%28300%2C300%2C-3%2C3%2C-3%2C3%2Cx%5E2%2Ae%5E%28-2x%29-x%2Ae%5E%28-2x%29-6%29
Looks like there is a zero between 0 and -1.
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I used Newton's method in EXCEL with the following results.
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x=-0.75508