All that can be said is that F(x) is a quadratic function of x, with two real roots.
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8x2 + 16x + 8 = 0
16x + 2 - 8 = 16x + 24 implies 16x - 6 = 16x + 24 subtracting 16x from both sides, this implies: -6 = 24 So the equation has no soultions.
8x2 + 16x + 8 = 8*(x2 + 2x + 1) = 8*(x + 1)2
8-8x=8x+18 Through simple algebra, this can be manipulated to solve for x: 8=16x+18 -10=16x -5/8=x
Too bad that's not x^2 - 16x + 64 which factors to (x - 8)(x - 8)