(3m-2n)(2n-3m)=

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

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

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

Multiply (3m + -2n) * (-3m + 2n)
(3m * (-3m + 2n) + -2n * (-3m + 2n)) = 0
((-3m * 3m + 2n * 3m) + -2n * (-3m + 2n)) = 0

Reorder the terms:
((6mn + -9m2) + -2n * (-3m + 2n)) = 0
((6mn + -9m2) + -2n * (-3m + 2n)) = 0
(6mn + -9m2 + (-3m * -2n + 2n * -2n)) = 0
(6mn + -9m2 + (6mn + -4n2)) = 0

Reorder the terms:
(6mn + 6mn + -9m2 + -4n2) = 0

Combine like terms: 6mn + 6mn = 12mn
(12mn + -9m2 + -4n2) = 0

Solving
12mn + -9m2 + -4n2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(-3m + 2n)' equal to zero and attempt to solve:

Simplifying
-3m + 2n = 0

Solving
-3m + 2n = 0

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

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

Combine like terms: 2n + -2n = 0
-3m + 0 = 0 + -2n
-3m = 0 + -2n
Remove the zero:
-3m = -2n

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

Simplifying
m = 0.6666666667n
Subproblem 2
Set the factor '(3m + -2n)' equal to zero and attempt to solve:

Simplifying
3m + -2n = 0

Solving
3m + -2n = 0

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

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

Combine like terms: -2n + 2n = 0
3m + 0 = 0 + 2n
3m = 0 + 2n
Remove the zero:
3m = 2n

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

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