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

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

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

Reorder the terms:
4m(-2 + m) = 4 + -2m
(-2 * 4m + m * 4m) = 4 + -2m
(-8m + 4m2) = 4 + -2m

Solving
-8m + 4m2 = 4 + -2m

Solving for variable 'm'.

Reorder the terms:
-4 + -8m + 2m + 4m2 = 4 + -2m + -4 + 2m

Combine like terms: -8m + 2m = -6m
-4 + -6m + 4m2 = 4 + -2m + -4 + 2m

Reorder the terms:
-4 + -6m + 4m2 = 4 + -4 + -2m + 2m

Combine like terms: 4 + -4 = 0
-4 + -6m + 4m2 = 0 + -2m + 2m
-4 + -6m + 4m2 = -2m + 2m

Combine like terms: -2m + 2m = 0
-4 + -6m + 4m2 = 0

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

Factor a trinomial.
2((-1 + -2m)(2 + -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 '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 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 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-0.5, 2}