Answer:
x = 6 or x = -2
Step-by-step explanation:
Solve for x:
2 x^2 - 8 x - 24 = 0
The left hand side factors into a product with three terms:
2 (x - 6) (x + 2) = 0
Divide both sides by 2:
(x - 6) (x + 2) = 0
Split into two equations:
x - 6 = 0 or x + 2 = 0
Add 6 to both sides:
x = 6 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 6 or x = -2
