x2+5x+6=0

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First thing I have to do is factor:

x^{2} + 5x + 6 = (x + 2)(x + 3)

Set this equal to zero:

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

Solve each factor:

x + 2 = 0 or x + 3 = 0

x = –2 or x = – 3

The solution to x^{2} + 5x + 6 = 0 is x = –3, –2

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