a) \(x(x - 2) + x - 2 = 0\)
\((x - 2)(x + 1) = 0\)
\( \Rightarrow \left[ \matrix{ x - 2 = 0 \hfill \cr x + 1 = 0 \hfill \cr} \right. \Rightarrow \left[ \matrix{ x = 2 \hfill \cr x = - 1 \hfill \cr} \right.\)
Vậy \(x = -1; x = 2.\)
b) \(5x(x - 3) - x + 3 = 0\)
\(5x(x - 3) - (x - 3) = 0\)
\((x - 3)(5x - 1) = 0\)
\( \Rightarrow \left[ \matrix{
x - 3 = 0 \hfill \cr
5x - 1 = 0 \hfill \cr} \right. \Rightarrow \left[ \matrix{
x = 3 \hfill \cr
x = \dfrac{1}{5} \hfill \cr} \right.\)
Vậy \(x = \dfrac{1}{5}; x = 3.\)