Solve for x:
x^3-3 x^2-10 x+24 = 0
The left hand side factors into a product with three terms:
(x-4) (x-2) (x+3) = 0
Split into three equations:
x-4 = 0 or x-2 = 0 or x+3 = 0
Add 4 to both sides:
x = 4 or x-2 = 0 or x+3 = 0
Add 2 to both sides:
x = 4 or x = 2 or x+3 = 0
Subtract 3 from both sides:
Answer: |x = 4 or x = 2 or x = -3