Using substitution $p = x + \frac{1}{x}$ to reduce $2x^4+x^3-6x^2+x+2=0$ How do I use the substitution $p = x + \frac{1}{x}$ to show that the equation
$$2x^4+x^3-6x^2+x+2=0$$
reduces to $2p^2+p-10=0$.
Now, I can do the problem in reverse, but when I try solving $p = x + \frac{1}{x}$ for $x$ and substituting, the resulting equation is too complicated and nothing like the form required. 

Hint: divide the equation by $x^2$, then group terms and use the identity $(x+\frac{1}{x})^2 = x^2 + \frac{1}{x^2} + 2$.
