(8m+4)(4m+12)=

Solution for (8m+4)(4m+12)= equation:

Simplifying
(8m + 4)(4m + 12) = 0

Reorder the terms:
(4 + 8m)(4m + 12) = 0

Reorder the terms:
(4 + 8m)(12 + 4m) = 0

Multiply (4 + 8m) * (12 + 4m)
(4(12 + 4m) + 8m * (12 + 4m)) = 0
((12 * 4 + 4m * 4) + 8m * (12 + 4m)) = 0
((48 + 16m) + 8m * (12 + 4m)) = 0
(48 + 16m + (12 * 8m + 4m * 8m)) = 0
(48 + 16m + (96m + 32m2)) = 0

Combine like terms: 16m + 96m = 112m
(48 + 112m + 32m2) = 0

Solving
48 + 112m + 32m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '16'.
16(3 + 7m + 2m2) = 0

Factor a trinomial.
16((3 + m)(1 + 2m)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3
Subproblem 2
Set the factor '(1 + 2m)' equal to zero and attempt to solve:

Simplifying
1 + 2m = 0

Solving
1 + 2m = 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 + 2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2m = 0 + -1
2m = 0 + -1

Combine like terms: 0 + -1 = -1
2m = -1

Divide each side by '2'.
m = -0.5

Simplifying
m = -0.5
Solution
m = {-3, -0.5}