Solve for x:
x^2 - 5 x - 150 = 0
The left hand side factors into a product with two terms:
(x - 15) (x + 10) = 0
Split into two equations:
x - 15 = 0 or x + 10 = 0
Add 15 to both sides:
x = 15 or x + 10 = 0
Subtract 10 from both sides:
Answer: |x = 15 or x = -10