(2m^2-2n^2)(2m^2+2n^2)=

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Solution for (2m^2-2n^2)(2m^2+2n^2)= equation: 


Simplifying
(2m2 + -2n2)(2m2 + 2n2) = 0

Multiply (2m2 + -2n2) * (2m2 + 2n2)
(2m2 * (2m2 + 2n2) + -2n2 * (2m2 + 2n2)) = 0
((2m2 * 2m2 + 2n2 * 2m2) + -2n2 * (2m2 + 2n2)) = 0

Reorder the terms:
((4m2n2 + 4m4) + -2n2 * (2m2 + 2n2)) = 0
((4m2n2 + 4m4) + -2n2 * (2m2 + 2n2)) = 0
(4m2n2 + 4m4 + (2m2 * -2n2 + 2n2 * -2n2)) = 0
(4m2n2 + 4m4 + (-4m2n2 + -4n4)) = 0

Reorder the terms:
(4m2n2 + -4m2n2 + 4m4 + -4n4) = 0

Combine like terms: 4m2n2 + -4m2n2 = 0
(0 + 4m4 + -4n4) = 0
(4m4 + -4n4) = 0

Solving
4m4 + -4n4 = 0

Solving for variable 'm'.

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

Add '4n4' to each side of the equation.
4m4 + -4n4 + 4n4 = 0 + 4n4

Combine like terms: -4n4 + 4n4 = 0
4m4 + 0 = 0 + 4n4
4m4 = 0 + 4n4
Remove the zero:
4m4 = 4n4

Divide each side by '4'.
m4 = n4

Simplifying
m4 = n4

Combine like terms: n4 + -1n4 = 0
m4 + -1n4 = 0

Factor a difference between two squares.
(m2 + n2)(m2 + -1n2) = 0

Factor a difference between two squares.
(m2 + n2)((m + n)(m + -1n)) = 0


Subproblem 1
Set the factor '(m2 + n2)' equal to zero and attempt to solve:

Simplifying
m2 + n2 = 0

Solving
m2 + n2 = 0

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

Add '-1n2' to each side of the equation.
m2 + n2 + -1n2 = 0 + -1n2

Combine like terms: n2 + -1n2 = 0
m2 + 0 = 0 + -1n2
m2 = 0 + -1n2
Remove the zero:
m2 = -1n2

Simplifying
m2 = -1n2

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

Simplifying
m + -1n = 0

Solving
m + -1n = 0

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

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

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

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

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