1. The problem statement, all variables and given/known data This book is skipping over too many steps where A1 = 1m2 A2 = .5 m2 y1 - y2 = 5m 3. The attempt at a solution I'm having trouble getting from one step to another. By my reckoning this equation can be simplified by removing P0 and ρ since they are the same on both sides of the equation. Then we can multiply each term by 2. That makes v12 + 2gy1 = ((A1/A2)v2)2 + 2gy2 Now I subtract 2gy1 from both sides. That makes: v12 = ((A1/A2)v2)2 + 2gy2 - 2gy1 The book is showing that that is a mistake. I can't figure out why. Also if I subtract ((A1/A2)v2)2 from both sides that would make (ignoring 2gy) v12 - ((A1/A2)v2)2 But the book has it as v12 multiplied by (1- ((A1/A2)v2)2 Why?