6m^2n^2-13mn+6=

Solution for 6m^2n^2-13mn+6= equation:

Simplifying
6m2n2 + -13mn + 6 = 0

Reorder the terms:
6 + -13mn + 6m2n2 = 0

Solving
6 + -13mn + 6m2n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2 + -3mn)(3 + -2mn) = 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 '(3 + -2mn)' equal to zero and attempt to solve:

Simplifying
3 + -2mn = 0

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

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

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

Divide each side by '-2n'.
m = 1.5n-1

Simplifying
m = 1.5n-1
Solution
m = {0.6666666667n-1, 1.5n-1}