ANSWER
[tex]\text{ a = }\frac{K}{(4\text{ + 9b\rparen}}[/tex]EXPLANATION
Given information
K = 4a + 9ab
To solve for a, follow the steps below
Step 1: Factor out a on the right side of the equation
[tex]K\text{ = a\lparen4 + 9b\rparen}[/tex]Step 2: Divide both sides by 4 + 9b
[tex]\begin{gathered} \text{ }\frac{K}{(4\text{ + 9b\rparen}}\text{ = }\frac{a(4\text{ + 9b\rparen}}{4\text{ + 9b}} \\ \text{ a = }\frac{k}{4\text{ + 9b}} \end{gathered}[/tex]