\(\left(2x+7\right)^2=9\left(x+2\right)^2\)
\(\Leftrightarrow\left(2x+7\right)^2-9\left(x+2\right)^2=0\)
\(\Leftrightarrow\left[2x+7+3\left(x+2\right)\right]\left[2x+7-3\left(x+2\right)\right]=0\)
\(\Leftrightarrow\left(2x+7+3x+6\right)\left(2x+7-3x-6\right)=0\)
\(\Leftrightarrow\left(5x+13\right)\left(-x+1\right)=0\)
\(\Leftrightarrow5x+13=0\) hay \(-x+1=0\)
\(\Leftrightarrow x=\dfrac{-13}{5}\) hay \(x=1\).
-Vậy \(S=\left\{\dfrac{-13}{5};1\right\}\)
\(\Leftrightarrow4x^2+28x+49=9x^2+36x+36\)
\(\Leftrightarrow5x^2+8x-13=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{13}{5}\end{matrix}\right.\)
