M^4N^2-M^3N^2-56M^2N^2=

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Solution for M^4N^2-M^3N^2-56M^2N^2= equation: 


Simplifying
M4N2 + -1M3N2 + -56M2N2 = 0

Reorder the terms:
-56M2N2 + -1M3N2 + M4N2 = 0

Solving
-56M2N2 + -1M3N2 + M4N2 = 0

Solving for variable 'M'.

Factor out the Greatest Common Factor (GCF), 'M2N2'.
M2N2(-56 + -1M + M2) = 0

Factor a trinomial.
M2N2((-7 + -1M)(8 + -1M)) = 0


Subproblem 1
Set the factor 'M2N2' equal to zero and attempt to solve:

Simplifying
M2N2 = 0

Solving
M2N2 = 0

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

Simplifying
M2N2 = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(-7 + -1M)' equal to zero and attempt to solve:

Simplifying
-7 + -1M = 0

Solving
-7 + -1M = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1M = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1M = 0 + 7
-1M = 0 + 7

Combine like terms: 0 + 7 = 7
-1M = 7

Divide each side by '-1'.
M = -7

Simplifying
M = -7

Subproblem 3
Set the factor '(8 + -1M)' equal to zero and attempt to solve:

Simplifying
8 + -1M = 0

Solving
8 + -1M = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1M = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1M = 0 + -8
-1M = 0 + -8

Combine like terms: 0 + -8 = -8
-1M = -8

Divide each side by '-1'.
M = 8

Simplifying
M = 8
Solution
M = {-7, 8}

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