2m(m-1)+3(1-m)=0

Solution for 2m(m-1)+3(1-m)=0 equation:

Simplifying
2m(m + -1) + 3(1 + -1m) = 0

Reorder the terms:
2m(-1 + m) + 3(1 + -1m) = 0
(-1 * 2m + m * 2m) + 3(1 + -1m) = 0
(-2m + 2m2) + 3(1 + -1m) = 0
-2m + 2m2 + (1 * 3 + -1m * 3) = 0
-2m + 2m2 + (3 + -3m) = 0

Reorder the terms:
3 + -2m + -3m + 2m2 = 0

Combine like terms: -2m + -3m = -5m
3 + -5m + 2m2 = 0

Solving
3 + -5m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -1m)(3 + -2m) = 0

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 '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Solution
m = {1, 1.5}