I am teaching my year 10s how to solve quadratic equations by removing a common factor and they are struggling. They cannot comprehend that there can be more than one value for x. I have tried explaining that the values of x represent the x intercepts and they understand when looking at a graph that a parabola can pass the x-axis more than once. However, they are stuck on the misbelief that there can only be one value for x. Any suggestions? I am the only Maths Teacher at a very rural school and have no one else to ask for help.