9m^2n^2-12(m)(n)+4=0

Solution for 9m^2n^2-12(m)(n)+4=0 equation:

Simplifying
9m2n2 + -12(m)(n) + 4 = 0

Multiply m * n
9m2n2 + -12mn + 4 = 0

Reorder the terms:
4 + -12mn + 9m2n2 = 0

Solving
4 + -12mn + 9m2n2 = 0

Solving for variable 'm'.

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

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

Simplifying
2 + -3mn = 0

Solving
2 + -3mn = 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 + -3mn = 0 + -2

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

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

Divide each side by '-3n'.
m = 0.6666666667n-1

Simplifying
m = 0.6666666667n-1
Subproblem 2
Set the factor '(2 + -3mn)' equal to zero and attempt to solve:

Simplifying
2 + -3mn = 0

Solving
2 + -3mn = 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 + -3mn = 0 + -2

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

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

Divide each side by '-3n'.
m = 0.6666666667n-1

Simplifying
m = 0.6666666667n-1
Solution
m = {0.6666666667n-1, 0.6666666667n-1}