a) \(\Rightarrow x\left(x-2\right)-\left(x-2\right)=0\Rightarrow\left(x-2\right)\left(x-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x=1\end{matrix}\right.\)
b) \(\Rightarrow\left(x-5\right)\left(x+5\right)-\left(x+5\right)=0\Rightarrow\left(x+5\right)\left(x-6\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=-5\\x=6\end{matrix}\right.\)
c) \(\Rightarrow10x^2+9x-10x^2-13x+3=0\)
\(\Rightarrow4x=3\Rightarrow x=\dfrac{3}{4}\)
\(a,\Leftrightarrow\left(x-2\right)\left(x-1\right)=0\Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\\ b,\Leftrightarrow\left(x-5\right)\left(x+5\right)-\left(x+5\right)=0\\ \Leftrightarrow\left(x+5\right)\left(x-6\right)=0\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=6\end{matrix}\right.\\ c,\Leftrightarrow10x^2+9x-10x^2-15x+2x+3=0\\ \Leftrightarrow-4x=-3\Leftrightarrow x=\dfrac{3}{4}\)


