\(8x^3+8x^2+2x=0\)
\(\Rightarrow2x\left(4x^2+4x+1\right)=0\)
\(\Rightarrow2x\left[\left(2x\right)^2+2.x.2+1^2\right]=0\)
\(\Rightarrow2x\left(2x+1\right)^2=0\)
\(\Rightarrow\left[{}\begin{matrix}2x=0\\\left(2x+1\right)^2=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\2x+1=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=-\dfrac{1}{2}\end{matrix}\right.\)
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