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: \[ x = 0 \quad \text{and} \quad x = -10 \]