Solve the following equation Please show step by step Solve

Solve the following equation. Please show step by step.

Solve the following equation. Please show step by step. (3x + 8)^2 - 7 = 2

(3x+8)^2-7 = 2,

((3x)^2+2(3x)(8)+8^2)-7=2

9x^2+48x+64-7-2=0

9x^2+48x+55 =0

9x^2+15x+33x+55=0

3x(3x+5)+11(3x+5)=0

(3x+11)*(3x+5)=0

3x+11=0 or 3x+5=0

x=-11/3 or -5/3