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

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

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

Reorder the terms:
m(-4 + 2m) + 1(2m + -4) = 0
(-4 * m + 2m * m) + 1(2m + -4) = 0
(-4m + 2m2) + 1(2m + -4) = 0

Reorder the terms:
-4m + 2m2 + 1(-4 + 2m) = 0
-4m + 2m2 + (-4 * 1 + 2m * 1) = 0
-4m + 2m2 + (-4 + 2m) = 0

Reorder the terms:
-4 + -4m + 2m + 2m2 = 0

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

Solving
-4 + -2m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -1m + m2) = 0

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

Ignore the factor 2.
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 '(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 = {-1, 2}