Chapter 2 - Section 2.1 - Linear Equations in One Variable - Exercise Set - Page 56: 82

Multiplying anything by 0 results in 0; thus the multiplication property of equality of equality does not apply for 0.

Here is an example: $5=3$ This is false. $0\times5 = 0\times3$ $0=0$ Now, this is true. Therefore, the multiplication property of equality does not apply for 0.