Find all excluded values for the expression. That is, find all values of \( x \) for which the expression is und \[ \frac{x^{2}+11 x+28}{x^{2}+8 x+16} \] If there is more than one value, separate them with comn

To find the excluded values for the expression \(\frac{x^{2}+11x+28}{x^{2}+8x+16}\), we need to identify the values of \(x\) that would make the denominator equal to zero. The denominator of the expression is \(x^{2}+8x+16\). To find the excluded values, we need to solve the equation \(x^{2}+8x+16 = 0\). Let's solve this equation to find the excluded values for \(x\). Solve the quadratic equation by following steps: - step0: Solve by factoring: \(x^{2}+8x+16=0\) - step1: Factor the expression: \(\left(x+4\right)^{2}=0\) - step2: Simplify the expression: \(x+4=0\) - step3: Move the constant to the right side: \(x=0-4\) - step4: Remove 0: \(x=-4\) The solution to the equation \(x^{2}+8x+16=0\) is \(x=-4\). Therefore, the excluded value for the expression \(\frac{x^{2}+11x+28}{x^{2}+8x+16}\) is \(x=-4\).