The owners of a circus are planning a new act. They want to have a trapeze artist catch another acrobat in mid-air as the second performer comes into the main tent on a zip-line. If the path of the trapeze can be modeled by the parabola y=14x2+16 and the path of the zip-line can be modeled by y=2x+12, at what point can the trapeze artist grab the second acrobat?