12. "The product of -7 and a number squared is \( -28 . " \)

To solve the equation, first recognize that the equation can be set up as: \(-7 \cdot x^2 = -28\). Dividing both sides by -7 gives you \(x^2 = 4\). Taking the square root results in \(x = 2\) or \(x = -2\). So the solutions are 2 and -2. A fun little sidebar: squaring negative numbers gives you positive results, which is part of what makes math so interesting—negative times negative equals positive! In real-world terms, this scenario could apply to physics or engineering where you're trying to find dimensions (area) based on specific constraints. For example, if the area of a particular shape is determined to be constrained by a negative coefficient, solving for the dimensions could lead you to those squared numbers! It's a reminder of how abstract math can sometimes come together with concrete applications in various fields.