You have the following equation:
4(x+2)² - 5 = 11
in order to solve the previous equation, proceed as follow:
4(x+2)² - 5 = 11 expand the squared factor
4(x² + 4x + 4) - 5 = 11 apply distribution property
4x² + 16x + 16 - 5 = 11 simplify like terms left side
4x² + 16x + 11 = 11 subtract 11 left side
4x² + 16x = 0 divide by 4 both side
x² + 4x = 0 factorize x both sides
x(x + 4) = 0
from the previous equation, you obtain that x is:
x = 0
x+ 4 = 0 => x = -4
Hence, the solutions for x are 0 and -4