Question

Solve by factoring (x+5)^2=36

Answer 1

Answer: the answer is x=1,-11

Answer 2

Assuming that this is what you mean by factoring, you can proceed as follows: subtracting 36 from both sides gives

$(x+5)^2-36=0$

This is a difference of squares, since 36 is 6 squared. We can factor it using the formula $a^2-b^2=(a+b)(a-b)$

$(x+5)^2-36=0 \iff (x+5+6)(x+5-6)=0 \iff (x+11)(x-1)=0$

A product is zero if and only if one of the factors is zero:

$x+11=0 \iff x=-11,\quad x-1=0 \iff x=1$