Question 1020889
SIMPLIFY and solve according to any factoring you may find that way, OR according to trying Rational Roots Theorem.


Maybe this way should be a good path:
(1+x)^3*(1+x+1)=5
(1+x)^3(x+2)=5
No, not so good,... 
Try this way:


(learn about Pascal's Triangle and the Binomial Theorem as a shortcut to the multplications)-----
{{{(1+4*x+6*x^2+4*x^3+x^4)+(1+3x+3x^2+x^3)=5}}}
{{{x^4+4x^3+6x^2+4x+1+x^3+3x^2+3x+1=5}}}
{{{x^4+5x^3+9x^2+7x+2=5}}}
{{{highlight_green(x^4+5x^3+9x^2+7x-3=0)}}}


Check the possible roots, -3, -1, 1, 3, and if desired, any others according to what you may be learning about polynomial functions.
(In fact, none of those will be roots.  According to a graphing feature in Google, there are two real roots, and both are  irrational roots.)