x2 - 14x + 45 = (x - 9)(x - 5)
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x2 + 14x + 45 = 0 => x2 + 9x + 5x + 45 = 0 => x(x + 9) + 5(x + 9) = 0 (x + 9)(x + 5) = 0 so that x = -5 or x = -9
x2 + 14x + 48 = (x + 8)(x + 6)
x2+14x+40 = (x+4)(x+10) when factored
x2+14x+49 = (x+7)(x+7) when factored
x2 + 14x + 45 = (x + 9) (x + 5)