x2 + 3x + 9 has no real solutions. Applying the quadratic formula, we get two imaginary solutions: (negative three plus or minus three i times the square root of three) divided by two.
x = -1.5 + 2.598076211353316i
x = -1.5 - 2.598076211353316i
where i is the square root of negative one.
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(x - 9)(x + 6)
9X2 = 3X(3X) Best I can see to factor here.
(x + 4)(x + 9)
x - 3
9x^2-6xy+y^2 = (y-3x)^2 (y-3x)^2-81 -> ((y-3x)+9)((y-3x)-9)