How do you solve the quadratic equation for x?

Solve  -x² - 4x + 12 = 0  for x.

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-x² - 4x + 12 = 0
-1(x² + 4x - 12) = 0   {factored -1 out}
x² + 4x - 12 = 0   {divided each side by -1}
(x + 6)(x - 2) = 0   {factored into two binomials}
x + 6 = 0   or   x - 2 = 0   {set each factor equal to zero}
x = -6   or   x = 2   {solved each equation}

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