x^2 + 5x + 6 = 0

Answer 1

To solve the quadratic equation \( x^2 + 5x + 6 = 0 \), we can factor it.

The equation can be factored as follows:

\[ (x + 2)(x + 3) = 0 \]

Now, we set each factor equal to zero:

1. \( x + 2 = 0 \) → \( x = -2 \)
2. \( x + 3 = 0 \) → \( x = -3 \)

Thus, the solutions to the equation \( x^2 + 5x + 6 = 0 \) are:

\[ x = -2 \quad \text{and} \quad x = -3 \]