Answer:
x = 3/2; x = -1/2
Step-by-step explanation:
6x² - x - 2 = 0
⇔ 6x² - 4x + 3x - 2 = 0
⇔ (6x² - 4x) + (3x - 2) = 0
⇔ 2x(3x - 2) + (3x - 2) = 0
⇔ (3x - 2)(2x + 1) = 0
⇔[tex]\left \{ {{3x - 2=0} \atop {2x + 1=0}} \right.[/tex]
⇔[tex]\left \{ {{3x=2} \atop {2x=-1}} \right.[/tex]
⇔[tex]\left \{ {{x=2/3} \atop {x=-1/2}} \right.[/tex]
