M^4-m^4=0

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Solution for M^4-m^4=0 equation: 


Simplifying
M4 + -1m4 = 0

Solving
M4 + -1m4 = 0

Solving for variable 'M'.

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

Add 'm4' to each side of the equation.
M4 + -1m4 + m4 = 0 + m4

Combine like terms: -1m4 + m4 = 0
M4 + 0 = 0 + m4
M4 = 0 + m4
Remove the zero:
M4 = m4

Simplifying
M4 = m4

Combine like terms: m4 + -1m4 = 0
M4 + -1m4 = 0

Factor a difference between two squares.
(M2 + m2)(M2 + -1m2) = 0

Factor a difference between two squares.
(M2 + m2)((M + m)(M + -1m)) = 0


Subproblem 1
Set the factor '(M2 + m2)' equal to zero and attempt to solve:

Simplifying
M2 + m2 = 0

Solving
M2 + m2 = 0

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

Add '-1m2' to each side of the equation.
M2 + m2 + -1m2 = 0 + -1m2

Combine like terms: m2 + -1m2 = 0
M2 + 0 = 0 + -1m2
M2 = 0 + -1m2
Remove the zero:
M2 = -1m2

Simplifying
M2 = -1m2

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 '(M + m)' equal to zero and attempt to solve:

Simplifying
M + m = 0

Solving
M + m = 0

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

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

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

Simplifying
M = -1m

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

Simplifying
M + -1m = 0

Solving
M + -1m = 0

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

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

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

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

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