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

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

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

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

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

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

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

Solving
8 + -18m + 4m2 = 0

Solving for variable 'm'.

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

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

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
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
Solution
m = {0.5, 4}