Question

Solve the following formula for the specified variable.

1/4m(q+k), for q.
a..q=4mA−k
b.q=A−k/4m
c.q=4mA+k
d.q= A+k/4m
​

Answer 1

To solve the formula 1/4m(q+k) for q, first multiply both sides by 4m to eliminate the fraction. Then, isolate q by subtracting 4mq from both sides. Finally, divide both sides by (1-4m) to solve for q.

Step-by-step explanation:

To solve the formula 1/4m(q+k) for q, we need to isolate q on one side of the equation. Here are the steps:

1. Multiply both sides of the equation by 4m to eliminate the fraction: 4m * (1/4m(q+k)) = 4m * q
2. The 4m on the left side cancels out, leaving us with (q + k) = 4m * q
3. Distribute 4m to both the q and the k on the right side: q + k = 4mq
4. Now, subtract 4mq from both sides of the equation to isolate q: q + k - 4mq = 0
5. Factor out q on the left side: q(1-4m) + k = 0
6. Finally, divide both sides of the equation by (1-4m) to solve for q: q = -k / (1-4m)