(6mn-1)(2mn-1)=

Solution for (6mn-1)(2mn-1)= equation:

Simplifying
(6mn + -1)(2mn + -1) = 0

Reorder the terms:
(-1 + 6mn)(2mn + -1) = 0

Reorder the terms:
(-1 + 6mn)(-1 + 2mn) = 0

Multiply (-1 + 6mn) * (-1 + 2mn)
(-1(-1 + 2mn) + 6mn * (-1 + 2mn)) = 0
((-1 * -1 + 2mn * -1) + 6mn * (-1 + 2mn)) = 0
((1 + -2mn) + 6mn * (-1 + 2mn)) = 0
(1 + -2mn + (-1 * 6mn + 2mn * 6mn)) = 0
(1 + -2mn + (-6mn + 12m2n2)) = 0

Combine like terms: -2mn + -6mn = -8mn
(1 + -8mn + 12m2n2) = 0

Solving
1 + -8mn + 12m2n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -6mn)(1 + -2mn) = 0

Subproblem 1
Set the factor '(1 + -6mn)' equal to zero and attempt to solve:

Simplifying
1 + -6mn = 0

Solving
1 + -6mn = 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 + -6mn = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6mn = 0 + -1
-6mn = 0 + -1

Combine like terms: 0 + -1 = -1
-6mn = -1

Divide each side by '-6n'.
m = 0.1666666667n-1

Simplifying
m = 0.1666666667n-1
Subproblem 2
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
Solution
m = {0.1666666667n-1, 0.5n-1}