\(...\Leftrightarrow3\left(x^2-4\right)-5\left(x-2\right)^2=0\) \(\Leftrightarrow\left(x-2\right)\left[3\left(x+2\right)-5\left(x-2\right)\right]=0\)
\(\Leftrightarrow\left(x-2\right)\left(-2x+16\right)=0\) \(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=8\end{matrix}\right.\)
\(3x^2-12-5\left(x-2\right)^2=0\)
\(3\left(x^2-4\right)-5\left(x-2\right)^2=0\)
\(3\left(x-2\right)\left(x+2\right)-5\left(x-2\right)^2=0\)
\(\left(x-2\right)\left(3\left(x+2\right)-5\left(x-2\right)\right)=0\)
\(\left(x-2\right)\left(3x+6-5\left(x-2\right)\right)=0\)
\(\left(x-2\right)\left(3x+6-5x+10\right)=0\)
\(\left(x-2\right)\left(-2x+6+10\right)=0\)
\(\left(x-2\right)\left(-2x+16\right)=0\)
\(\left(x-2\right)\left(-2\left(x-8\right)\right)=0\)
\(\left(x-2\right)\left(-2x+16\right)=0\)
\(x-2=0\) hoặc \(-2x+16=0\)
\(x=2\) hoặc \(x=8\)
Vậy \(x=2\) hoặc \(x=8\)
