4m(2n-3)+6(1-m)=

Solution for 4m(2n-3)+6(1-m)= equation:

Simplifying
4m(2n + -3) + 6(1 + -1m) = 0

Reorder the terms:
4m(-3 + 2n) + 6(1 + -1m) = 0
(-3 * 4m + 2n * 4m) + 6(1 + -1m) = 0
(-12m + 8mn) + 6(1 + -1m) = 0
-12m + 8mn + (1 * 6 + -1m * 6) = 0
-12m + 8mn + (6 + -6m) = 0

Reorder the terms:
6 + -12m + -6m + 8mn = 0

Combine like terms: -12m + -6m = -18m
6 + -18m + 8mn = 0

Solving
6 + -18m + 8mn = 0

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -18m + -6 + 8mn = 0 + -6

Reorder the terms:
6 + -6 + -18m + 8mn = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -18m + 8mn = 0 + -6
-18m + 8mn = 0 + -6

Combine like terms: 0 + -6 = -6
-18m + 8mn = -6

Reorder the terms:
6 + -18m + 8mn = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -18m + 8mn = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -9m + 4mn) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -9m + 4mn)' equal to zero and attempt to solve:

Simplifying
3 + -9m + 4mn = 0

Solving
3 + -9m + 4mn = 0

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

Add '-3' to each side of the equation.
3 + -9m + -3 + 4mn = 0 + -3

Reorder the terms:
3 + -3 + -9m + 4mn = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -9m + 4mn = 0 + -3
-9m + 4mn = 0 + -3

Combine like terms: 0 + -3 = -3
-9m + 4mn = -3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.