Question

x×(x-2012)+2013×x-2012×2013=0

 

Answer 1

\(x\left(x-2012\right)+2013x-2012\cdot2013=0\)

\(x\left(x-2012\right)+2013\left(x-2012\right)=0\)

\(\left(x+2013\right)\left(x-2012\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x+2013=0\\x-2012=0\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-2013\\x=2012\end{cases}}\)

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