Question 525768
Solve: 
N.B. {{{i = sqrt(-1)}}}
{{{x^2+16 = 0}}} Factor.
{{{(x+4i)(x-4i) = 0}}} Apply the zero product rule.
{{{x+4i = 0}}} or {{{x-4i = 0}}} so...
{{{x = -4i}}} or {{{x = 4i}}}
Or you could do it this way...
{{{x^2+16 = 0}}} Subtract 16 from both sides.
{{{x^2 = -16}}} Take the square root of both sides.
{{{x = sqrt(-16)}}} or {{{x = -sqrt(-16)}}} Simplify.
{{{x = 4i}}} or {{{x = -4i}}}