\(\frac{5}{9}(5x + 9)\left(x + \sqrt{5k + 9}\right)\left(x - \sqrt{5k…

Question

Prompt

\frac{5}{9} (5 x + 9) (x + 5 k + 9) (x - 5 k + 9) = 0

In the given equation,

k

is a positive constant. The product of the solutions to the equation is

72

. What is the value of

k