21m^2+13m+2=0

Solution for 21m^2+13m+2=0 equation:

Simplifying
21m2 + 13m + 2 = 0

Reorder the terms:
2 + 13m + 21m2 = 0

Solving
2 + 13m + 21m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + 3m)(2 + 7m) = 0

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

Simplifying
1 + 3m = 0

Solving
1 + 3m = 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 + 3m = 0 + -1

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

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

Divide each side by '3'.
m = -0.3333333333

Simplifying
m = -0.3333333333
Subproblem 2
Set the factor '(2 + 7m)' equal to zero and attempt to solve:

Simplifying
2 + 7m = 0

Solving
2 + 7m = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7m = 0 + -2
7m = 0 + -2

Combine like terms: 0 + -2 = -2
7m = -2

Divide each side by '7'.
m = -0.2857142857

Simplifying
m = -0.2857142857
Solution
m = {-0.3333333333, -0.2857142857}