(2m+4)(-4m-1)=

Solution for (2m+4)(-4m-1)= equation:

Simplifying
(2m + 4)(-4m + -1) = 0

Reorder the terms:
(4 + 2m)(-4m + -1) = 0

Reorder the terms:
(4 + 2m)(-1 + -4m) = 0

Multiply (4 + 2m) * (-1 + -4m)
(4(-1 + -4m) + 2m * (-1 + -4m)) = 0
((-1 * 4 + -4m * 4) + 2m * (-1 + -4m)) = 0
((-4 + -16m) + 2m * (-1 + -4m)) = 0
(-4 + -16m + (-1 * 2m + -4m * 2m)) = 0
(-4 + -16m + (-2m + -8m2)) = 0

Combine like terms: -16m + -2m = -18m
(-4 + -18m + -8m2) = 0

Solving
-4 + -18m + -8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(2 + 9m + 4m2) = 0

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

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

Simplifying
1 + 4m = 0

Solving
1 + 4m = 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 + 4m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4m = 0 + -1
4m = 0 + -1

Combine like terms: 0 + -1 = -1
4m = -1

Divide each side by '4'.
m = -0.25

Simplifying
m = -0.25
Solution
m = {-2, -0.25}