This equation had one too many or one too few parentheses. First run, I guessed where the closing parenthesis should go. For the second run, I dropped one parenthesis. See the attached notebook.
Note that the Root objects are for a #1^6 polynomial. There are a few 6th-order polynomials Solve can handle. This is not one of them. It probably cannot be expressed in ordinary functions, anyway.
See the tutorial, Equations in One Variable (http://reference.wolfram.com/mathematica/tutorial/EquationsInOneVariable.html).
Attachment: 122317Solve.nb, URL: ,