Answer:
x = -1, -7
Step-by-step explanation:
[tex](x+4)^2[/tex] -2 = 7
[tex](x+4)^2[/tex] -9 = 0 (Taking 7 to the other side)
[tex](x+4)^2[/tex] - [tex]3^2[/tex] = 0
Now use the difference of two squares rule
[((x+4)+3).((x+4)-3)] = 0
[(x+7).(x+1)] = 0
Now solve for x
x = -1, -7