e.\(\Leftrightarrow9x^2-4-\left(3x^2-x-2\right)=0\)
\(\Leftrightarrow9x^2-4-3x^2+x+2=0\)
\(\Leftrightarrow6x^2+x-2=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=-\dfrac{2}{3}\end{matrix}\right.\)
f.\(\Leftrightarrow\left(13x-7\right)^2=\left(7x+9\right)^2\)
\(\Leftrightarrow13x-7=7x+9\)
\(\Leftrightarrow6x=16\Leftrightarrow x=\dfrac{16}{6}\)
g.\(\Leftrightarrow\left(9x-9\right)^2=\left(8x+4\right)^2\)
\(\Leftrightarrow9x-9=8x+4\)
\(\Leftrightarrow x=13\)
h.\(\Leftrightarrow2x^2+2x+3x+3=0\)
\(\Leftrightarrow2x\left(x+1\right)+3\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(2x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=-\dfrac{3}{2}\end{matrix}\right.\)
i,\(\Leftrightarrow x^2+2x-7x-14=0\)
\(\Leftrightarrow\left(x+2\right)\left(x-7\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=7\end{matrix}\right.\)
j.\(\Leftrightarrow\left(x-\dfrac{2}{3}\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=-2\end{matrix}\right.\)