5x²+15x=0

To solve the equation \(5x^2 + 15x = 0\), you can factor out the common term:

1. Factor out \(5x\) from the equation:

   \[ 5x(x + 3) = 0 \]

2. Set each factor equal to zero:

   • \(5x = 0\)
   • \(x + 3 = 0\)

3. Solve for \(x\):

   • From \(5x = 0\):

     \[ x = 0 \]

   • From \(x + 3 = 0\):

     \[ x = -3 \]

So, the solutions to the equation \(5x^2 + 15x = 0\) are:

\[ x = 0 \quad \text{and} \quad x = -3 \]