Answer:
x = 4, x = -3
Explanation:
⇒ 2x² - 2x -24 = 0
[tex]\sf takeout \ the \ common \ factor[/tex]
⇒ 2(x² - x - 12) = 0
[tex]\sf divide \ both \ sides \ by \ 2[/tex]
⇒ x² - x - 12 = 0
[tex]\sf breakdown[/tex]
⇒ x² - 4x + 3x - 12 = 0
[tex]\sf factor \ common \ terms[/tex]
⇒ x(x - 4) + 3(x - 4) = 0
[tex]\sf collect \ into \ groups[/tex]
⇒ (x - 4)(x + 3) = 0
[tex]\sf set \ to \ zero[/tex]
⇒ x = 4, x = -3
