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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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11y ago

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