Đáp án:
$\text{x = -2 hoặc x = $\dfrac{3}{2}$.}$
Giải thích các bước giải:
$\text{x.(2x - 3) = 2.(3 - 2x).}$
$\text{⇒ x.(2x - 3) - 2.(3 - 2x) = 0.}$
$\text{⇒ x.(2x - 3) - 6 + 4x = 0.}$
$\text{⇒ x.(2x - 3) + 4x - 6 = 0.}$
$\text{⇒ x.(2x - 3) + 2.(2x - 3) = 0.}$
$\text{⇒ (x + 2).(2x - 3) = 0.}$
$\text{⇒ \(\left[ \begin{array}{l}x+2=0.\\2x-3=0.\end{array} \right.\)}$
$\text{⇒ \(\left[ \begin{array}{l}x=-2.\\2x=3.\end{array} \right.\)}$
$\text{⇒ \(\left[ \begin{array}{l}x=-2.\\x=\dfrac{3}{2}.\end{array} \right.\)}$
$\text{Vậy x = -2 hoặc x = $\dfrac{3}{2}$.}$
