2x²+6x=0

To solve the equation \( 2x^2 + 6x = 0 \), we can factor out the common term. 1. Start by factoring out the greatest common factor, which is \( 2x \): \[ 2x(x + 3) = 0 \] 2. Set each factor equal to zero: \[ 2x = 0 \quad \text{or} \quad x + 3 = 0 \] From \( 2x = 0 \): \[ x = 0 \] From \( x + 3 = 0 \): \[ x = -3 \] 3. Therefore, the solutions to the equation \( 2x^2 + 6x = 0 \) are: \[ x = 0 \quad \text{and} \quad x = -3 \]