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To solve the equation x^2 + 5x + 6 = 0, we can factor the quadratic expression:
x^2 + 5x + 6 = 0
(x + 3)(x + 2) = 0
Now, we can set each factor to zero and solve for x:
x + 3 = 0
x = -3
x + 2 = 0
x = -2
Therefore, the solutions to the equation x^2 + 5x + 6 = 0 are x = -3 and x = -2.