x2+12x+36=0 2x+12x+36=0 14x+36=0 14x=-36 x=-36/14 x=-2 4/7
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Equate it to zero (0) , and you have a quadratic equation that can be factotred. Hence x^2 + 12x + 36 = 0 (x + 6)(x + 6) = 0 Hence x = -6
x2 + 12x + 32 = (x + 8)(x + 4)
x + 12x + 20 = (x + 10)(x + 2)
Add? I will show you the process. X^2 + 12X = 16 halve the linear term (12), square it and ADD it to both sides X^2 + 12X + 36 = 16 + 36 factor the right side; gather terms right (X + 6)^2 = 52 (X + 6)^2 - 52 = 0 (-6,-52) vertex of function As you see 36 was added to both sides
x2 + 13x + 36 = (x + 9)(x + 4)