(4m+4)(2m+3)=

Solution for (4m+4)(2m+3)= equation:

Simplifying
(4m + 4)(2m + 3) = 0

Reorder the terms:
(4 + 4m)(2m + 3) = 0

Reorder the terms:
(4 + 4m)(3 + 2m) = 0

Multiply (4 + 4m) * (3 + 2m)
(4(3 + 2m) + 4m * (3 + 2m)) = 0
((3 * 4 + 2m * 4) + 4m * (3 + 2m)) = 0
((12 + 8m) + 4m * (3 + 2m)) = 0
(12 + 8m + (3 * 4m + 2m * 4m)) = 0
(12 + 8m + (12m + 8m2)) = 0

Combine like terms: 8m + 12m = 20m
(12 + 20m + 8m2) = 0

Solving
12 + 20m + 8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + 5m + 2m2) = 0

Factor a trinomial.
4((3 + 2m)(1 + m)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + 2m)' equal to zero and attempt to solve:

Simplifying
3 + 2m = 0

Solving
3 + 2m = 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 + 2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2m = 0 + -3
2m = 0 + -3

Combine like terms: 0 + -3 = -3
2m = -3

Divide each side by '2'.
m = -1.5

Simplifying
m = -1.5
Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

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

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

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

Simplifying
m = -1
Solution
m = {-1.5, -1}