Answer
$x=-10,2$; James forgot to include the negative square root when applying the square root property
Work Step by Step
When taking the square root of a number, you get a positive and a negative answer.
James forgot to include the negative square root when applying the square root property.
$27=(x+4)^2-9$
$(x+4)^2-9=27$
$(x+4)^2=36$
$x+4=6$
$x=2$
or
$x+4=-6$
$x=-10$.
So
$x=-10,2$.