(-4M-4N)(-6M-6N)=

Solution for (-4M-4N)(-6M-6N)= equation:

Simplifying
(-4M + -4N)(-6M + -6N) = 0

Multiply (-4M + -4N) * (-6M + -6N)
(-4M * (-6M + -6N) + -4N * (-6M + -6N)) = 0
((-6M * -4M + -6N * -4M) + -4N * (-6M + -6N)) = 0

Reorder the terms:
((24MN + 24M2) + -4N * (-6M + -6N)) = 0
((24MN + 24M2) + -4N * (-6M + -6N)) = 0
(24MN + 24M2 + (-6M * -4N + -6N * -4N)) = 0
(24MN + 24M2 + (24MN + 24N2)) = 0

Reorder the terms:
(24MN + 24MN + 24M2 + 24N2) = 0

Combine like terms: 24MN + 24MN = 48MN
(48MN + 24M2 + 24N2) = 0

Solving
48MN + 24M2 + 24N2 = 0

Solving for variable 'M'.

Factor out the Greatest Common Factor (GCF), '24'.
24(2MN + M2 + N2) = 0

Factor a trinomial.
24((M + N)(M + N)) = 0

Ignore the factor 24.
Subproblem 1
Set the factor '(M + N)' equal to zero and attempt to solve:

Simplifying
M + N = 0

Solving
M + N = 0

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

Add '-1N' to each side of the equation.
M + N + -1N = 0 + -1N

Combine like terms: N + -1N = 0
M + 0 = 0 + -1N
M = 0 + -1N
Remove the zero:
M = -1N

Simplifying
M = -1N
Subproblem 2
Set the factor '(M + N)' equal to zero and attempt to solve:

Simplifying
M + N = 0

Solving
M + N = 0

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

Add '-1N' to each side of the equation.
M + N + -1N = 0 + -1N

Combine like terms: N + -1N = 0
M + 0 = 0 + -1N
M = 0 + -1N
Remove the zero:
M = -1N

Simplifying
M = -1N
Solution
M = {-1N, -1N}