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math

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solve by factoring. x^2+5x+6=0

  • math - ,

    x^2 + 5x + 6 = 0

    factors of 6,
    2 x 3 = 6
    6 x 1 = 6

    factors of 6 that add to 5
    2 + 3 = 5
    6 + 1 = 7

    Since, 2 x 3 = 6 AND 2 + 3 = 5

    x^2 + 5x +6 = (x + 2)(x + 3)
    ( x + 2 ) = 0
    x = - 2

    (x + 3)= 0
    x = -3

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