a)\(4\left(x-3\right)^2-\left(2x-1\right)\left(2x+1\right)=10\)
\(< =>4\left(x^2-6x+9\right)-\left(4x^2-1\right)=10\)
\(< =>4x^2-24x+36-4x^2+1=10\)
\(< =>-24x+36+1-10=0\)
\(< =>-24x=-27\)
\(< =>x=\frac{9}{8}\)
\(S=\left\{\frac{9}{8}\right\}\)
\(\left(x-4\right)^2-\left(x-2\right)\left(x+2\right)=6\)
\(< =>x^2-8x+16-\left(x^2-4\right)=6\)
\(< =>x^2-8x+16-x^2+4=6\)
\(< =>-8x=-14\)
\(< =>x=\frac{7}{4}\)
\(S=\left\{\frac{7}{4}\right\}\)