1. ## Radical equation help

I'm having a hell of a time trying to answer this one question.
sqrt(3m+7)-5=3m

I got up to
0=3(3m^2-m+6) but can't figure out how to factor any further and find the solution set. Any help would be appreciated. Thanks!

2. Hi

The first thing to do to solve $\sqrt{3m+7} -5 = 3m$
is to find the set of possible values for m

$3m+7 \geq 0$

$m \geq -\frac{7}{3}$

Then $\sqrt{3m+7} = 3m + 5$

Square both sides $3m+7 = (3m + 5)^2$

Expand the right member and rearrange to get a quadratic
Solve and find the solutions that are greater than -7/3

3. Thanks a bunch!

4. Sorry I forgot to tell you to check whether each of the two solutions of the quadratic satisfy the first equation