Solve the equation \( m^{2}+10 m+9=0 \) by factoring. \[ m=\text { If there is more than } 1 \text { solution, separate the values with a comma. } \] Question Help:

We start with the equation: \[ m^2 + 10m + 9 = 0 \] **Step 1: Factor the quadratic.** We look for two numbers that multiply to \(9\) (the constant term) and add up to \(10\) (the coefficient of \(m\)). The numbers \(1\) and \(9\) satisfy these conditions since: \[ 1 \times 9 = 9 \quad \text{and} \quad 1 + 9 = 10 \] Thus, we can factor the quadratic as: \[ m^2 + 10m + 9 = (m + 1)(m + 9) \] **Step 2: Set each factor equal to zero.** \[ m + 1 = 0 \quad \text{or} \quad m + 9 = 0 \] **Step 3: Solve for \(m\).** For \(m + 1 = 0\): \[ m = -1 \] For \(m + 9 = 0\): \[ m = -9 \] **Final Answer:** \[ m = -1, -9 \]