Question 81039
This has no solution, are you sure you typed it in right?
sqrt3x+6+3=0
{{{sqrt(3x+6)+3-3=0-3}}}
{{{sqrt(3x+6)=-3}}}  As soon as you see that the answer to a sqrt is a negative number, you know that there is no solution.  If you were to keep trying to solve it, you would get an extraneous solution.
{{{(sqrt(3x+6))^2=(-3)^2}}}
{{{3x+6=9}}}
{{{3x+6-6=9-6}}}
{{{3x=3}}}
{{{3x/3=3/3}}}
{{{x=1}}}
Check the solution in the original equation.
{{{sqrt(3(1)+6)+3=0}}}
{{{sqrt(9)+3=0}}}
{{{3+3=0}}}
{{{6=0}}}
False, therefore, there is no solution.
Happy Calculating!!!