M(3m+4)(3m-4)=0

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Solution for M(3m+4)(3m-4)=0 equation: 


Simplifying
M(3m + 4)(3m + -4) = 0

Reorder the terms:
M(4 + 3m)(3m + -4) = 0

Reorder the terms:
M(4 + 3m)(-4 + 3m) = 0

Multiply (4 + 3m) * (-4 + 3m)
M(4(-4 + 3m) + 3m * (-4 + 3m)) = 0
M((-4 * 4 + 3m * 4) + 3m * (-4 + 3m)) = 0
M((-16 + 12m) + 3m * (-4 + 3m)) = 0
M(-16 + 12m + (-4 * 3m + 3m * 3m)) = 0
M(-16 + 12m + (-12m + 9m2)) = 0

Combine like terms: 12m + -12m = 0
M(-16 + 0 + 9m2) = 0
M(-16 + 9m2) = 0
(-16 * M + 9m2 * M) = 0
(-16M + 9m2M) = 0

Solving
-16M + 9m2M = 0

Solving for variable 'M'.

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

Factor out the Greatest Common Factor (GCF), 'M'.
M(-16 + 9m2) = 0

Factor a difference between two squares.
M((4 + 3m)(-4 + 3m)) = 0


Subproblem 1
Set the factor 'M' equal to zero and attempt to solve:

Simplifying
M = 0

Solving
M = 0

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

Simplifying
M = 0

Subproblem 2
Set the factor '(4 + 3m)' equal to zero and attempt to solve:

Simplifying
4 + 3m = 0

Solving
4 + 3m = 0

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

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

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

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

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

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

Simplifying
0 = -4 + -3m

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(-4 + 3m)' equal to zero and attempt to solve:

Simplifying
-4 + 3m = 0

Solving
-4 + 3m = 0

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

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

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

Combine like terms: 0 + 4 = 4
3m = 4

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

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

Simplifying
0 = 4 + -3m

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
M = {0}

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