Can the effects of the problem be isolated to particular systems or subsystems of a product, thereby allowing designers to focus their attention on it and not having to involve every designer on the project?
You are designing a pumping facility for volatile chemicals. Electric motors are used as components, but are found to be generating too much heat and there is a risk of explosion as a result. The motors could be insulated thermally but this introduces two new problems. First, the motors could overheat. Second, the design is more complex now, as a result of introducing the insulation, which leads to a (slightly) higher probability of failure.
Alternatively, can the design be changed so that the electric motors are kept distant from sources of volatile chemicals? This isolates the source of the heat without necessarily introducing greatly complexity, and still allows for simple venting of heat to the environment, or perhaps recycling it to develop extra energy.