Answer: Therefore, the solution for A is A = B^3 / (D-2q).
Explanation:
To solve for A, we need to get all of the A terms on one side of the equation. First, we can move the -2qA term to the right side by adding 2qA to both sides:
DA - 2qA + 2qA = B^3 + 2qA
Simplifying:
DA = B^3 + 2qA
Next, we can move the 2qA term to the left side by subtracting 2qA from both sides:
DA - 2qA = B^3
Finally, we can factor out A from the left side:
A(D - 2q) = B^3
Dividing both sides by (D-2q):
A = B^3 / (D-2q)
Therefore, the solution for A is A = B^3 / (D-2q).