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solve the equation x^{2} + 5x + 6 = 0

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x^{2} + 5x + 6 = 0

x^{2} + 3x + 2x + 6 = 0

(x^{2} + 3x) + (2x + 6) = 0

x(x + 3) + 2(x + 3) = 0

(x + 2)(x + 3) = 0

x + 2 = 0 or x + 3 = 0

x = -2 or x = -3

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