12m^2+34m+22=0

Solution for 12m^2+34m+22=0 equation:

Simplifying
12m2 + 34m + 22 = 0

Reorder the terms:
22 + 34m + 12m2 = 0

Solving
22 + 34m + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + 17m + 6m2) = 0

Factor a trinomial.
2((11 + 6m)(1 + m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(11 + 6m)' equal to zero and attempt to solve:

Simplifying
11 + 6m = 0

Solving
11 + 6m = 0

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

Add '-11' to each side of the equation.
11 + -11 + 6m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 6m = 0 + -11
6m = 0 + -11

Combine like terms: 0 + -11 = -11
6m = -11

Divide each side by '6'.
m = -1.833333333

Simplifying
m = -1.833333333
Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

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

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

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

Simplifying
m = -1
Solution
m = {-1.833333333, -1}