Final answer:
Making the subject of the formula 'd', the equation is "d= (9 - 2F) / (4F + 1)."
Step-by-step explanation:
To make D the subject of the formula, we can start by multiplying both sides of the equation by (4d+2) to eliminate the denominator:
F(4d+2) = 9 - d
Next, distribute F to both terms in the parentheses:
4Fd + 2F = 9 - d
Now, move the d term to the right side by adding d to both sides:
4Fd + d + 2F = 9
Combine the d terms:
(4F + 1)d + 2F = 9
Finally, isolate d by subtracting 2F from both sides:
(4F + 1)d = 9 - 2F
Divide both sides by (4F + 1) to solve for d:
d = (9 - 2F) / (4F + 1)