Solve equation (x+6)^2=16

how do you solve this step by step

(x+6)^2=16

you need to expand the ^2

(x+6) x (x+6)= x^2 + 12x + 36

ie. x^2 + 12x + 36= 16
then u can c that u can make a quadratic eq from the above eq. all u need to do is carry the 16 to the other side of the eq and simplify.

x^2 + 12x + 36 - 16= 0
x^2 + 12x + 20 =
now u can either factorize of use the quadratic formula.
the factors are
(x+10) (x+2)=0
therefore (x+10)=0 and (x+2)=0
when x+10=0 and x+2=0
x= -10 x= -2

The way that I solve the equation is to notice that 16 is a perfect square (it's the square of 4) and that the only thing on the other side of the equals side is a square, so I take the square root of each side to get the following two equations (since 16 has two square roots):

x + 6 = 4
x + 6 = -4

Then I solve those as follows:
x + 6 = 4
x = 4 - 6
x = -2

x + 6 = -4
x = -4 - 6
x = -10