1. The problem statement, all variables and given/known data Find the value or values of k that make the equation true. 2. Relevant equations Starting Equation: (2x + k)(x - 2k) = 2x2 + 9x - 18 3. The attempt at a solution (2x + k)(x - 2k) = 2x2 + 9x - 18 2x2 - 3xk - 2k2 = 2x2 + 9x - 18 <- I just foiled the left side Sadly enough, this is where I got stuck. I'm currently reviewing for my final, and this is what we went over at the very beginning of the quarter, so these types of problems aren't very fresh in my mind. The book isn't helpful at all because all it explains how to do is multiply binomials, and doesn't elaborate on anything beyond that. My teacher, who was short on time when I asked, said that I either needed to factor the right side to get both sides to be similar, or FOIL the left side to get both sides similar, but either he didn't explain it well enough or it didn't click for me on what to do next to solve for k. Any help would be appreciated, thanks.