[tex]\displaystyle x^2-4x=3(2-x) \\ \\ \text{Inmultim pe 3 cu fiecare termen din paranteza.} \\ \\ x^2-4x=6-3x \\ \\ \text{Trecem tot in partea stanga cu semn schimbat.} \\ \\ x^2-4x-6+3x=0 \\ x^2-x-6=0 \\ \\ \Delta=b^2-4ac \\ \Delta=(-1)-4\cdot1\cdot(-6)\\ \Delta=25 \\ \\ X_{1,2}= \frac{-b\pm \sqrt{\Delta} }{2a}= \frac{1\pm5}{2} \\ \\\\ X_1= \frac{6}{2}=3 \\ \\ X_2= \frac{-4}{2} = -2[/tex]
