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To solve the equation \((s-9)(2s+5)=0\), we need to find the values of \(s\) that make the equation true. According to the zero product property, if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero and solve for \(s\).1. Set the first factor equal to zero:\[s - 9 = 0\]Add 9 to both sides to isolate \(s\):\[s = 9\]2. Set the second factor equal to zero:\[2s + 5 = 0\]Subtract 5 from both sides:\[2s = -5\]Divide both sides by 2 to solve for \(s\):\[s = -\frac{5}{2}\]The solutions are \(s = 9\) and \(s = -\frac{5}{2}\). Since the question asks for answers as integers or as proper or improper fractions in simplest form, we can leave \(s = -\frac{5}{2}\) as it is already in simplest form.**Accurate Answer:**\[s = 9 \text{ or } s = -\frac{5}{2}\]