Solve for x using factoring:
14 x^2 - 17 x - 6 = 0
The left hand side factors into a product with two terms:
(2 x - 3) (7 x + 2) = 0
Split into two equations:
2 x - 3 = 0 or 7 x + 2 = 0
Add 3 to both sides:
2 x = 3 or 7 x + 2 = 0
Divide both sides by 2:
x = 3/2 or 7 x + 2 = 0
Subtract 2 from both sides:
x = 3/2 or 7 x = -2
Divide both sides by 7:
Answer: x = 3/2 or x = -2/7
