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use the product property to find the value of x that makes the following statement true: 2 • (x-3) =0Question
Use the zero product property to find the value of c that makes the following statement true: 2⋅(x - 3) = 0
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To solve the equation \( 2 \cdot (x - 3) = 0 \) using the zero product property, we first recognize that this product equals zero when at least one of the factors is zero.
Given the equation:
\[ 2 \cdot (x - 3) = 0 \]
We can apply the zero product property:
1. Since \( 2 \) is a nonzero constant, we focus on the factor \( (x - 3) \).
2. Setting that equal to zero gives:
\[
x - 3 = 0
\]
3. Now, solve for \( x \):
\[
x = 3
\]
This tells us that the value of \( x \) that makes the original statement true is \( x = 3 \).
In your question, you mentioned finding the value of \( c \). Assuming that you're looking for the value of \( x \), the answer is \( x = 3 \). If \( c \) refers to something else in a different context, please provide additional clarification.
Given the equation:
\[ 2 \cdot (x - 3) = 0 \]
We can apply the zero product property:
1. Since \( 2 \) is a nonzero constant, we focus on the factor \( (x - 3) \).
2. Setting that equal to zero gives:
\[
x - 3 = 0
\]
3. Now, solve for \( x \):
\[
x = 3
\]
This tells us that the value of \( x \) that makes the original statement true is \( x = 3 \).
In your question, you mentioned finding the value of \( c \). Assuming that you're looking for the value of \( x \), the answer is \( x = 3 \). If \( c \) refers to something else in a different context, please provide additional clarification.
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