2In(x+3) = 0
This is the same as:
[tex]In(x+3)^2=0[/tex]Take the exponent of both-side
[tex]e^{In}(x+3)^2=e^0[/tex][tex](x+3)^2=1[/tex]Take the square root of both-side
[tex]x+3=\pm1[/tex]subtract 3 from both-side
x = ± 1 - 3
Either x = -1 - 3 or x = +1 - 3
x = -4 or x = -2