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Assuming you wish to make this equation equal zero, for x2 + 16x + 55 = 0, x = -5.

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Q: X2 plus 16x plus 55 equals?

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(x - 5)(x - 11)

Y=(x+8)^2-5

(the shape is an upside down 'u').

x2 + 48x + 320

8x2 + 16x + 8 = 8*(x2 + 2x + 1) = 8*(x + 1)2

Half of the coefficient of x, squared. For example: x2 + 16x -3 you would add 8^2. Then you would have: x2 +16x +8^2 = 3-8^2 Which leads to: (x+8)^2 = -61

In the absence of signs I have assumed the term in 16x and 60 are negative: ie x2 - 16x = -60 or x2 - 16x + 60 = 0 Factors of 60 which total -16 are -6 and -10, so (x - 6)(x - 10)

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x2+16x-80 = 0 (x-4)(x+20) = 0 x = 4 or x = -20

x2-16x+48 = (x-4)(x-12) when factored

(x - 7)(x - 9)

x(x + 4)(x - 4) or x3 - 16x