What value for \( x \) makes the denominator equal to zero? \( \frac{-4}{2 x} \) \( x=\square \)
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To find the value of \( x \) that makes the denominator zero in the expression \( \frac{-4}{2x} \), we set the denominator equal to zero: \[ 2x = 0 \] To solve for \( x \), divide both sides by 2: \[ x = 0 \] So, the value for \( x \) that makes the denominator zero is \( x = 0 \). There you have it—just a reminder, dividing by zero is not allowed in mathematics, as it leads to undefined values! Always check your denominators before diving into calculations; it's a classic pitfall!