14x²+140x=0

To solve the equation \( 14x^2 + 140x = 0 \), we can first factor out the common term:

1. Factor out \( 14x \): \[ 14x(x + 10) = 0 \]

2. Set each factor equal to zero:

   • \( 14x = 0 \)
   • \( x + 10 = 0 \)

3. Solve for \( x \):

   • From \( 14x = 0 \), we have \( x = 0 \).
   • From \( x + 10 = 0 \), we have \( x = -10 \).

Therefore, the solutions to the equation \( 14x^2 + 140x = 0 \) are: \[ x = 0 \quad \text{and} \quad x = -10 \]