(x-5)(18-2x)=0

To solve the equation \((x - 5)(18 - 2x) = 0\), we can use the property that if the product of two factors is zero, then at least one of the factors must be zero. So we set each factor to zero: 1. \(x - 5 = 0\) 2. \(18 - 2x = 0\) Now we solve each equation individually: 1. From \(x - 5 = 0\): \[ x = 5 \] 2. From \(18 - 2x = 0\): \[ 2x = 18 \\ x = \frac{18}{2} \\ x = 9 \] Thus, the solutions to the equation \((x - 5)(18 - 2x) = 0\) are: \[ x = 5 \quad \text{and} \quad x = 9 \]