Use the Zero Product Property to find the value of x that makes the following statement true: 2⋅(x−3)=0
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The Zero Product Property states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero.
In this equation, the product is 2⋅(x−3). So, we can set each factor equal to zero:
2 = 0 or (x−3) = 0
The first equation, 2 = 0, is not true.
The second equation, (x−3) = 0, can be solved for x:
x−3 = 0
x = 3
Therefore, the value of x that makes the statement true is x = 3.