\[
(2 z-7)(3+z)=0
\]
(If there is more than one solution, separate them with commas.)
\[
z=\square
\]

Answer

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Answer

Final Answer: \(z=\boxed{\frac{7}{2}, -3}\)

Steps

Step 1 ：The given equation is \((2 z-7)(3+z)=0\).

Step 2 ：Setting the first factor equal to zero gives us \(2z = 7\), or \(z = 7/2\).

Step 3 ：Setting the second factor equal to zero gives us \(z = -3\).

Step 4 ：The solutions to the equation are \(z = 7/2\) and \(z = -3\).

Step 5 ：Final Answer: \(z=\boxed{\frac{7}{2}, -3}\)