Question

Solve the following for the specified variable

Z=s/2(P+p); for P

Answer 1

`\boxed{\sf P = (2Z)/(s) - p}`

Explanation:

`\sf Solve \ for \ P: \\ \sf \implies Z = (s)/(2) (P + p) \\ \\ \sf Z = (s)/(2) (P + p) \ is \ equivalent \ to \ (s)/(2) (P + p) = Z: \\ \sf \implies (s)/(2) (P + p) = Z \\ \\ \sf Divide \ both \ sides \ by \ (s)/(2) : \\ \sf \implies P + p = (2Z)/(s) \\ \\ \sf Substrate \ p \ from \ both \ sides: \\ \sf \implies P = (2Z)/(s) - p`