The problem asks us to determine what we know about the solutions to the equation $xyz = 0$. Here, $x$, $y$, and $z$ are three numbers.

AlgebraEquationsZero Product PropertyVariables
2025/6/4

1. Problem Description

The problem asks us to determine what we know about the solutions to the equation xyz=0xyz = 0. Here, xx, yy, and zz are three numbers.

2. Solution Steps

For the product of three numbers to be equal to zero, at least one of the numbers must be zero. That is, if xyz=0xyz = 0, then either x=0x=0 or y=0y=0 or z=0z=0. It is also possible that two or three of them are zero.

3. Final Answer

At least one of the numbers xx, yy, or zz must be equal to zero.

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