to factor (x2-16x+64), you need to find two number whose product is 64 and whose sum is 16.
These two numbers are 8 and 8.
(x2-16x+64)=(x-8)(x-8)
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You factor the equation by determining what two numbers, when added, equal 16 and, when multiplied, equal 64. For this equation, the two numbers are 8 and 8. (x+8)*(x+8)=x2+16x+64.
(x - 7)(x - 9)
Too bad that's not x^2 - 16x + 64 which factors to (x - 8)(x - 8)
Assuming you wish to make this equation equal zero, for x2 + 16x + 55 = 0, x = -5.
(x - 15)(x - 1)
(8 + x)2 = 64 + 16x + x2