1) That equation cannot be factored. And you cannot find roots by using the root theorem or any exact method.
2) That means that you should use either a numerical method, which exceeds the high school level (even the basics college levels), or a graphing calculator.
3) I opted for the graphing calculator and found these roots for you:
One important observation is that the degree of polynomila, i.e. 6, indicate the maximum number of roots:
So, you can expect 6 solutions. These are:
Real roots:
x ≈ 0.65
x ≈ 2.13
Complex roots:
x ≈ -1.48 - 0.24i
x ≈ - 1.48 + 0.24i
x ≈ 0.59 - 1.87i
x ≈ 0.59 + 1.87i
