The area of a rectangular knitted blanket is 14x^2−17x−6. what are the possible dimensions of the blanket? use factoring.

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:

x = 3/2 or x = -2/7