You can put this solution on YOUR website! It would be helpful if you included the instructions for the problem. Like your problem, for example, the instructions probably say "Solve" or "Find the solution(s) to this equation" or something like that. Tutors are more likely to help when the problem is clear.
Assuming the problem is to solve the equation...
Since equations are generally easier to work with when there are no fractions, we'll start by eliminating the fraction (by multiplying both sides by 3):
Next we want one side to be zero. So we'll add 6 to each side:
Next we factor it. (If it doesn't factor, use the Quadratic Formula.)
{3m + 2)(m + 3) = 0
By the Zero Product Property we know that this product is zero only if one of the factors is zero. So:
3m+2 = 0 or m+3 = 0
Solving each of these we get:
m = -2/3 or m = -3
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