To determine the equation's undefined value in the expression \( 12 = 6x \cdot (8x - 5) \), we need to identify which term can result in the expression being undefined.
The term that can lead to an undefined value is \( 8x - 5 \), as it could potentially equal zero if \( x \) takes a certain value, leading to division by zero in a broader context (if we were dividing).
Next, we can find the value of \( x \) that makes \( 8x - 5 = 0 \):
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Set the equation to zero: \[ 8x - 5 = 0 \]
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Solve for \( x \): \[ 8x = 5 \] \[ x = \frac{5}{8} \]
Thus, the specific undefined value for \( x \) would be: \[ x \neq \frac{5}{8} \]
Answers:
- The term that helps determine the equation's undefined value: 8x - 5
- The undefined value: \( x \neq \frac{5}{8} \)
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