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

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

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

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

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

Multiply (-2 + 3m) * (-1 + 2m)
(-2(-1 + 2m) + 3m * (-1 + 2m)) = 0
((-1 * -2 + 2m * -2) + 3m * (-1 + 2m)) = 0
((2 + -4m) + 3m * (-1 + 2m)) = 0
(2 + -4m + (-1 * 3m + 2m * 3m)) = 0
(2 + -4m + (-3m + 6m2)) = 0

Combine like terms: -4m + -3m = -7m
(2 + -7m + 6m2) = 0

Solving
2 + -7m + 6m2 = 0

Solving for variable 'm'.

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

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

Simplifying
2 + -3m = 0

Solving
2 + -3m = 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 + -3m = 0 + -2

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

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

Divide each side by '-3'.
m = 0.6666666667

Simplifying
m = 0.6666666667
Solution
m = {0.5, 0.6666666667}