Answer:
w = 7, 8/5
Explanation:
(7 - w) (5w - 8) = 0
(7 - w) × (5w - 8) = 0
7 × 5w - 7 × 8 - w × 5w + w × 8 = 0
35w - 56 - 5w² + 8w = 0
- 5w² + 43w - 56 = 0
5w² - 43w + 56 = 0
5w² - 35w - 8w + 56 = 0
5w(w - 7) - 8(w - 7) = 0
(w - 7) (5w - 8) = 0
w - 7 = 0 OR 5w - 8 = 0
w = 7 OR w = 8/5
Thus, the value of w is 7, 8/5