Using the factorization method to solve the following equation: the square of 36x = the square of 9 (x + 1)

Using the factorization method to solve the following equation: the square of 36x = the square of 9 (x + 1)

36x squared = 9 (x + 1) squared
Square of 36x - square of 9 (x + 1) = 0
9[4x^2-(x+1)^2]=0
9(2x-x-1)(2x+x+1)=0
9(x-1)(3x+1)=0
x1=1 x2=-1/3