Answer:
b = 8/3 or b = -9/5
Explanation:
Solve for b over the real numbers:
(5 b + 9) (8 - 3 b) = 0
Split into two equations:
8 - 3 b = 0 or 5 b + 9 = 0
Multiply both sides by -1:
3 b - 8 = 0 or 5 b + 9 = 0
Add 8 to both sides:
3 b = 8 or 5 b + 9 = 0
Divide both sides by 3:
b = 8/3 or 5 b + 9 = 0
Subtract 9 from both sides:
b = 8/3 or 5 b = -9
Divide both sides by 5:
Answer: b = 8/3 or b = -9/5