Using the zero product property, solve (d+2)(d+9)=0.

1 answer

To solve the equation \((d+2)(d+9) = 0\) using the zero product property, we set each factor equal to zero:

  1. Set the first factor to zero: \[ d + 2 = 0 \] Subtracting 2 from both sides gives: \[ d = -2 \]

  2. Set the second factor to zero: \[ d + 9 = 0 \] Subtracting 9 from both sides gives: \[ d = -9 \]

Thus, the solutions to the equation \((d+2)(d+9) = 0\) are: \[ d = -2 \quad \text{and} \quad d = -9 \]