Solve (5b+9) (8-3b) = 0

b = 8/3 or b = - 9/5

Step-by-step 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