7m^2-14m-21=0

Solution for 7m^2-14m-21=0 equation:

Simplifying
7m2 + -14m + -21 = 0

Reorder the terms:
-21 + -14m + 7m2 = 0

Solving
-21 + -14m + 7m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-3 + -2m + m2) = 0

Factor a trinomial.
7((-1 + -1m)(3 + -1m)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(-1 + -1m)' equal to zero and attempt to solve:

Simplifying
-1 + -1m = 0

Solving
-1 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1m = 0 + 1
-1m = 0 + 1

Combine like terms: 0 + 1 = 1
-1m = 1

Divide each side by '-1'.
m = -1

Simplifying
m = -1
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-1, 3}