a) \(x\left(2-x\right)+\left(x+3\right)^2=9\)
\(\Leftrightarrow-x^2+2x+x^2+6x+9=9\)
\(\Leftrightarrow8x=0\Leftrightarrow x=0\)
b) \(\Leftrightarrow x^2-8x+16-x^2+2x+3=-5\)
\(\Leftrightarrow-6x=-24\Leftrightarrow x=4\)
c) \(\Leftrightarrow\left(x-3\right)^2=0\)
\(\Leftrightarrow x-3=0\Leftrightarrow x=3\)
d) \(\Leftrightarrow\left(3x-2\right)^2=0\)
\(\Leftrightarrow3x-2=0\Leftrightarrow x=\dfrac{2}{3}\)
e) \(\Leftrightarrow\left(x-9-2x\right)\left(x-9+2x\right)=0\)
\(\Leftrightarrow-3\left(x+9\right)\left(x-3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-9\\x=3\end{matrix}\right.\)
f) \(\Leftrightarrow\left(5x-3-3x+5\right)\left(5x-3+3x-5\right)=0\)
\(\Leftrightarrow16\left(x+1\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-1\end{matrix}\right.\)
