(2m^2-4)(2m^2+4)=

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Solution for (2m^2-4)(2m^2+4)= equation:


Simplifying
(2m2 + -4)(2m2 + 4) = 0

Reorder the terms:
(-4 + 2m2)(2m2 + 4) = 0

Reorder the terms:
(-4 + 2m2)(4 + 2m2) = 0

Multiply (-4 + 2m2) * (4 + 2m2)
(-4(4 + 2m2) + 2m2 * (4 + 2m2)) = 0
((4 * -4 + 2m2 * -4) + 2m2 * (4 + 2m2)) = 0
((-16 + -8m2) + 2m2 * (4 + 2m2)) = 0
(-16 + -8m2 + (4 * 2m2 + 2m2 * 2m2)) = 0
(-16 + -8m2 + (8m2 + 4m4)) = 0

Combine like terms: -8m2 + 8m2 = 0
(-16 + 0 + 4m4) = 0
(-16 + 4m4) = 0

Solving
-16 + 4m4 = 0

Solving for variable 'm'.

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

Add '16' to each side of the equation.
-16 + 16 + 4m4 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 4m4 = 0 + 16
4m4 = 0 + 16

Combine like terms: 0 + 16 = 16
4m4 = 16

Divide each side by '4'.
m4 = 4

Simplifying
m4 = 4

Reorder the terms:
-4 + m4 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + m4 = 0

Factor a difference between two squares.
(2 + m2)(-2 + m2) = 0


Subproblem 1
Set the factor '(2 + m2)' equal to zero and attempt to solve:

Simplifying
2 + m2 = 0

Solving
2 + m2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + m2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + m2 = 0 + -2
m2 = 0 + -2

Combine like terms: 0 + -2 = -2
m2 = -2

Simplifying
m2 = -2

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 '(-2 + m2)' equal to zero and attempt to solve:

Simplifying
-2 + m2 = 0

Solving
-2 + m2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + m2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + m2 = 0 + 2
m2 = 0 + 2

Combine like terms: 0 + 2 = 2
m2 = 2

Simplifying
m2 = 2

Take the square root of each side:
m = {-1.414213562, 1.414213562}
Solution
m = {-1.414213562, 1.414213562}

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