0
x2 + 12x = 0 is an equation that describes a parabola. This parabola would have a minimum value and no maximum. That minimum can be found by taking its derivative and solving for zero:
y = x2 + 12x
dy/dx = x + 12
0 = x + 12
x = -12
Then take that x value and plug it in to the original equation:
y = (-12)2 + 12(-12)
y = 144 - 144
y = 0
So the focal point of the parabola is at (-12, 0)
If you want to factor it, that would come to:
x(x + 12) = 0
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