Solve for x over the real numbers:
3 x^2-21 x-24 = 0
The left hand side factors into a product with three terms:
3 (x-8) (x+1) = 0
Divide both sides by 3:
(x-8) (x+1) = 0
Split into two equations:
x-8 = 0 or x+1 = 0
Add 8 to both sides:
x = 8 or x+1 = 0
Subtract 1 from both sides:
Answer: | x = 8 or x = -1