Answer: The roots are m = -1/2 and m = 3
Step-by-step explanation:
The equation is already factored for us (well nearly so).
Set each piece equal to zero. Refer to the zero product property.
- 4m+2 = 0 solves to m = -1/2. Subtract 2 from both sides, then divide by 4 to get m = -2/4 = -1/2.
- 3m-9 = 0 solves to m = 3. You add 9 to both sides, then divide by 3 to isolate m.
The two roots are -1/2 and 3. If you were to substitute either value into the equation, then you should get 0 on both sides after simplifying.