Question
The Zero Product Property Practice
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Question
Use the Zero Product Property to find the value of x that makes the following statement true: 2⋅(x−3)=0
.(1 point)
The value that makes the statement true is x=
.
Remaining Attempts : 3
Answers
GPT-4o mini
To solve the equation \( 2 \cdot (x - 3) = 0 \) using the Zero Product Property, we can start by recognizing that for the product to equal zero, at least one of the factors must be zero.
We can rewrite the equation as:
\[ 2 \cdot (x - 3) = 0 \]
Since \( 2 \) is a non-zero constant, it doesn't affect the zero product property. Thus, we can focus on the term \( (x - 3) \):
\[ x - 3 = 0 \]
Now, we can solve for \( x \):
\[ x = 3 \]
So the value that makes the statement true is \( x = 3 \).
We can rewrite the equation as:
\[ 2 \cdot (x - 3) = 0 \]
Since \( 2 \) is a non-zero constant, it doesn't affect the zero product property. Thus, we can focus on the term \( (x - 3) \):
\[ x - 3 = 0 \]
Now, we can solve for \( x \):
\[ x = 3 \]
So the value that makes the statement true is \( x = 3 \).