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

Solution for 8(m+4)(2m-1)= equation:

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

Reorder the terms:
8(4 + m)(2m + -1) = 0

Reorder the terms:
8(4 + m)(-1 + 2m) = 0

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

Combine like terms: 8m + -1m = 7m
8(-4 + 7m + 2m2) = 0
(-4 * 8 + 7m * 8 + 2m2 * 8) = 0
(-32 + 56m + 16m2) = 0

Solving
-32 + 56m + 16m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-4 + 7m + 2m2) = 0

Factor a trinomial.
8((-4 + -1m)(1 + -2m)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve:

Simplifying
-4 + -1m = 0

Solving
-4 + -1m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1m = 0 + 4

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

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

Divide each side by '-1'.
m = -4

Simplifying
m = -4
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 = {-4, 0.5}