3-8mn+4m^2n^2=0

Solution for 3-8mn+4m^2n^2=0 equation:

Simplifying
3 + -8mn + 4m2n2 = 0

Solving
3 + -8mn + 4m2n2 = 0

Solving for variable 'm'.

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

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

Simplifying
1 + -2mn = 0

Solving
1 + -2mn = 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 + -2mn = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2mn = 0 + -1
-2mn = 0 + -1

Combine like terms: 0 + -1 = -1
-2mn = -1

Divide each side by '-2n'.
m = 0.5n-1

Simplifying
m = 0.5n-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 = {0.5n-1, 1.5n-1}