(6m+5)(6m+2)=

Solution for (6m+5)(6m+2)= equation:

Simplifying
(6m + 5)(6m + 2) = 0

Reorder the terms:
(5 + 6m)(6m + 2) = 0

Reorder the terms:
(5 + 6m)(2 + 6m) = 0

Multiply (5 + 6m) * (2 + 6m)
(5(2 + 6m) + 6m * (2 + 6m)) = 0
((2 * 5 + 6m * 5) + 6m * (2 + 6m)) = 0
((10 + 30m) + 6m * (2 + 6m)) = 0
(10 + 30m + (2 * 6m + 6m * 6m)) = 0
(10 + 30m + (12m + 36m2)) = 0

Combine like terms: 30m + 12m = 42m
(10 + 42m + 36m2) = 0

Solving
10 + 42m + 36m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 21m + 18m2) = 0

Factor a trinomial.
2((5 + 6m)(1 + 3m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + 6m)' equal to zero and attempt to solve:

Simplifying
5 + 6m = 0

Solving
5 + 6m = 0

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

Add '-5' to each side of the equation.
5 + -5 + 6m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6m = 0 + -5
6m = 0 + -5

Combine like terms: 0 + -5 = -5
6m = -5

Divide each side by '6'.
m = -0.8333333333

Simplifying
m = -0.8333333333
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 = {-0.8333333333, -0.3333333333}