Question

x+1=(x+1)²

Answer 1

\(x+1=\left(x+1\right)^2\)

\(\Rightarrow\left(x+1\right)^2-\left(x+1\right)=0\)

\(\Rightarrow\left(x+1-1\right)\left(x+1\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x=-1\end{matrix}\right.\)

Answer 2

\(x+1=\left(x+1\right)^2\\ \Leftrightarrow\left(x+1\right)^2-\left(x+1\right)=0\\ \Leftrightarrow\left(x+1\right)\left(x+1-1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=-1\\x=0\end{matrix}\right.\)