9m^2+6m+6=5

Solution for 9m^2+6m+6=5 equation:

Simplifying
9m2 + 6m + 6 = 5

Reorder the terms:
6 + 6m + 9m2 = 5

Solving
6 + 6m + 9m2 = 5

Solving for variable 'm'.

Reorder the terms:
6 + -5 + 6m + 9m2 = 5 + -5

Combine like terms: 6 + -5 = 1
1 + 6m + 9m2 = 5 + -5

Combine like terms: 5 + -5 = 0
1 + 6m + 9m2 = 0

Factor a trinomial.
(1 + 3m)(1 + 3m) = 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 '(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
Solution
m = {-0.3333333333, -0.3333333333}