Question

solve for q.
k=4pq^2

Answer 1

k=4pq^2
k/4p=q^2
q=(k/4p)^2

Answer 2

Solve for q:
k = 4 p q^2

k = 4 p q^2 is equivalent to 4 p q^2 = k:
4 p q^2 = k

Divide both sides by 4 p:
q^2 = k/(4 p)

Take the square root of both sides:
Answer: q = sqrt(k/p)/2 or q = -sqrt(k/p)/2