\(x^2+12x+2x+24=0\)
\(\Leftrightarrow\left(x^2+2x\right)+\left(12x+24\right)=0\)
\(\Leftrightarrow x\left(x+2\right)+12\left(x+2\right)=0\)
\(\Leftrightarrow\left(x+12\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+12=0\\x+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-12\\x=-2\end{matrix}\right.\)
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\(x^2+12x+2x+24\)
\(\Leftrightarrow x\left(x+12\right)+2\left(x+12\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=-12\end{matrix}\right.\)
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