(6m+2)(6m+2)=0

Solution for (6m+2)(6m+2)=0 equation:

Simplifying
(6m + 2)(6m + 2) = 0

Reorder the terms:
(2 + 6m)(6m + 2) = 0

Reorder the terms:
(2 + 6m)(2 + 6m) = 0

Multiply (2 + 6m) * (2 + 6m)
(2(2 + 6m) + 6m * (2 + 6m)) = 0
((2 * 2 + 6m * 2) + 6m * (2 + 6m)) = 0
((4 + 12m) + 6m * (2 + 6m)) = 0
(4 + 12m + (2 * 6m + 6m * 6m)) = 0
(4 + 12m + (12m + 36m2)) = 0

Combine like terms: 12m + 12m = 24m
(4 + 24m + 36m2) = 0

Solving
4 + 24m + 36m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + 6m + 9m2) = 0

Factor a trinomial.
4((1 + 3m)(1 + 3m)) = 0

Ignore the factor 4.
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}