\(\Rightarrow\left(x+1\right)^2-\left(x+1\right)=0\\ \Rightarrow\left(x+1\right)\left(x+1-1\right)=0\\ \Rightarrow x\left(x+1\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=-1\end{matrix}\right.\)
(x + 1)2 = x + 1
⇒ (x + 1)2 - (x + 1)= 0
⇒ (x + 1) . (x + 1 - 1) =0
⇒ (x + 1) . x = 0
\(\Rightarrow\left[{}\begin{matrix}x+1=0\\x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-1\\x=0\end{matrix}\right.\)
\(\left(x+1\right)^2=x+1\Rightarrow\left(x+1\right)^2-\left(x+1\right)=0\)
\(\Rightarrow\left(x+1\right)\left(x+1-1\right)=0\) \(\Rightarrow x\left(x+1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=-1\end{matrix}\right.\)
(x + 1)2 = x + 1
<=> x2 + 2x + 1 = x + 1
<=> x2 + x = 0
<=> x(x + 1) = 0
<=> \(\left[{}\begin{matrix}x=0\\x+1=0\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=0\\x=-1\end{matrix}\right.\)