2x²+6x=0

To solve the equation \(2x^2 + 6x = 0\), we can factor out the common term. Here are the steps:

1. Factor out \(2x\): \[ 2x(x + 3) = 0 \]

2. Set each factor to zero: \[ 2x = 0 \quad \text{or} \quad x + 3 = 0 \]

3. Solve for \(x\):

   • From \(2x = 0\): \[ x = 0 \]
   • From \(x + 3 = 0\): \[ x = -3 \]

Thus, the solutions to the equation \(2x^2 + 6x = 0\) are: \[ x = 0 \quad \text{and} \quad x = -3 \]