Answer:
Explanation:
To solve the equation 21m² - 3m - 6 = -6, we can first simplify the left side by adding 6 to both sides:
21m² - 3m - 6 + 6 = -6 + 6
This gives:
21m² - 3m = 0
We can then factor out 3m from the left side:
3m(7m - 1) = 0
Using the zero product property, we can set each factor equal to zero and solve for m:
3m = 0 or 7m - 1 = 0
Solving for m in the first equation gives:
m = 0
Solving for m in the second equation gives:
7m - 1 = 0
7m = 1
m = 1/7
Therefore, the solutions to the equation 21m² - 3m - 6 = -6 are m = 0 and m = 1/7.