Solve the equation by factoring.2 x squared plus 16 x equals 0Question content area bottomPart 1xequalsenter your response here​(Use a comma to separate answers as​ needed.)

Answer 1

To solve the equation \( 2x^2 + 16x = 0 \) by factoring, follow these steps:

1. Factor out the common term: \[ 2x(x + 8) = 0 \]

2. Set each factor to zero: \[ 2x = 0 \quad \text{or} \quad x + 8 = 0 \]

3. Solve each equation:

   • For \( 2x = 0 \): \[ x = 0 \]
   • For \( x + 8 = 0 \): \[ x = -8 \]

Thus, the solutions to the equation \( 2x^2 + 16x = 0 \) are: \[ x = 0, -8 \]

So, the answer is: \[ 0, -8 \]