(4m+4)(m-3)=

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

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

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

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

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

Combine like terms: 4m + -12m = -8m
(-12 + -8m + 4m2) = 0

Solving
-12 + -8m + 4m2 = 0

Solving for variable 'm'.

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

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

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

Simplifying
-1 + -1m = 0

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

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

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

Divide each side by '-1'.
m = -1

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

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-1, 3}