a)
\(x\left(x-2\right)+\left(1-x\right)\left(1+x\right)=13\)
\(x^2-2x+1^2-x^2=13\)
\(x^2-x^2-2x+1=13\)
\(-2x=12\\ x=-6\)
b)
\(\left(x-1\right)\left(4x-3\right)-\left(3-4x\right)\left(3x+2\right)=0\)
\(\left(x-1\right)\left(4x-3\right)+\left(4x-3\right)\left(3x+2\right)=0\)
\(\left(4x-3\right)\left(x-1+3x+2\right)=0\)
\(\left(4x-3\right)\left(4x+1\right)=0\\ \left[{}\begin{matrix}4x-3=0\\4x+1=0\end{matrix}\right.\left[{}\begin{matrix}x=\dfrac{3}{4}\\x=-\dfrac{1}{4}\end{matrix}\right.\)
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