X(5+x)=0

To solve the equation \( x(5+x) = 0 \), we can use the zero product property, which states that if a product of factors equals zero, at least one of the factors must be zero. Setting each factor equal to zero: 1. \( x = 0 \) 2. \( 5 + x = 0 \) For the second equation, we can solve for \( x \): \[ 5 + x = 0 \\ x = -5 \] So the solutions to the equation \( x(5+x) = 0 \) are: \[ x = 0 \quad \text{and} \quad x = -5 \]