Solve the equation \( x^{2}+8 x=0 \) by factoring. \[ x=\text { If there is more than } 1 \text { solution, separate the values with a comma. } \] I

To solve the equation \( x^{2} + 8x = 0 \) by factoring, we start by factoring out the common term \( x \): \[ x(x + 8) = 0 \] Now, we set each factor to zero: 1. \( x = 0 \) 2. \( x + 8 = 0 \) → \( x = -8 \) Thus, the solutions are \( x = 0, -8 \). Now you have your answers! 🎉 Explore how these values could represent points on a graph or solutions to real-world problems where the relationships between quantities can be modeled with quadratic equations. The fun part? Whether it's business projections or physics problems, parabolas pop up everywhere! Also, if you enjoy digging deeper into math, consider exploring how factoring relates to the quadratic formula, or try some practice problems! You can never have enough practice when the solution appears as easy as pie! 🍰