Answer
Refer below explanation.
Work Step by Step
In order to solve the equation $x^3+x^2=x+1$, we will have to take $x+1$ to other side with change of sign, such as:
$x^3+x^2-x-1=0$
Then apply Zero product principal which states that when the factors are to be equal then one of the factor should equal to zero and solve for the solution of $x$.
