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- [Instructor] Lets say that weve got the equation two X minus one times X plus four is equal to zero. Pause this video and see if you can figure out the X values that would satisfy this equation, essentially our solutions to this equation. Alright, now lets work through this together. So at first, you might be tempted to multiply these things out, or theres multiple ways that you might have tried to approach it, but the key realization here is that you have two things being multiplied, and its being equal to zero. So you have the first thing being multiplied is two X minus one. This is expression is being multiplied by X plus four, and to get it to be equal to zero, one or both of these expressions needs to be equal to zero. Let me really reinforce that idea. If I had two variables, lets say A and B, and I told you A times B is equal to zero. Well, can you get the product of two numbers to equal zero without at least one of them being equal to zero? And the simple answer is no.