(3m+6)(3m+6)=

Solution for (3m+6)(3m+6)= equation:

Simplifying
(3m + 6)(3m + 6) = 0

Reorder the terms:
(6 + 3m)(3m + 6) = 0

Reorder the terms:
(6 + 3m)(6 + 3m) = 0

Multiply (6 + 3m) * (6 + 3m)
(6(6 + 3m) + 3m * (6 + 3m)) = 0
((6 * 6 + 3m * 6) + 3m * (6 + 3m)) = 0
((36 + 18m) + 3m * (6 + 3m)) = 0
(36 + 18m + (6 * 3m + 3m * 3m)) = 0
(36 + 18m + (18m + 9m2)) = 0

Combine like terms: 18m + 18m = 36m
(36 + 36m + 9m2) = 0

Solving
36 + 36m + 9m2 = 0

Solving for variable 'm'.

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

Factor a trinomial.
9((2 + m)(2 + m)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(2 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

Solving
2 + m = 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 + m = 0 + -2

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

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

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

Simplifying
2 + m = 0

Solving
2 + m = 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 + m = 0 + -2

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

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

Simplifying
m = -2
Solution
m = {-2, -2}