(x+4)(x-4)(x+2)(x-2)=

Solution for (x+4)(x-4)(x+2)(x-2)= equation:

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

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

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

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

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

Multiply (4 + x) * (-4 + x)
(4(-4 + x) + x(-4 + x))(2 + x)(-2 + x) = 0
((-4 * 4 + x * 4) + x(-4 + x))(2 + x)(-2 + x) = 0
((-16 + 4x) + x(-4 + x))(2 + x)(-2 + x) = 0
(-16 + 4x + (-4 * x + x * x))(2 + x)(-2 + x) = 0
(-16 + 4x + (-4x + x2))(2 + x)(-2 + x) = 0

Combine like terms: 4x + -4x = 0
(-16 + 0 + x2)(2 + x)(-2 + x) = 0
(-16 + x2)(2 + x)(-2 + x) = 0

Multiply (-16 + x2) * (2 + x)
(-16(2 + x) + x2(2 + x))(-2 + x) = 0
((2 * -16 + x * -16) + x2(2 + x))(-2 + x) = 0
((-32 + -16x) + x2(2 + x))(-2 + x) = 0
(-32 + -16x + (2 * x2 + x * x2))(-2 + x) = 0
(-32 + -16x + (2x2 + x3))(-2 + x) = 0
(-32 + -16x + 2x2 + x3)(-2 + x) = 0

Multiply (-32 + -16x + 2x2 + x3) * (-2 + x)
(-32(-2 + x) + -16x * (-2 + x) + 2x2 * (-2 + x) + x3(-2 + x)) = 0
((-2 * -32 + x * -32) + -16x * (-2 + x) + 2x2 * (-2 + x) + x3(-2 + x)) = 0
((64 + -32x) + -16x * (-2 + x) + 2x2 * (-2 + x) + x3(-2 + x)) = 0
(64 + -32x + (-2 * -16x + x * -16x) + 2x2 * (-2 + x) + x3(-2 + x)) = 0
(64 + -32x + (32x + -16x2) + 2x2 * (-2 + x) + x3(-2 + x)) = 0
(64 + -32x + 32x + -16x2 + (-2 * 2x2 + x * 2x2) + x3(-2 + x)) = 0
(64 + -32x + 32x + -16x2 + (-4x2 + 2x3) + x3(-2 + x)) = 0
(64 + -32x + 32x + -16x2 + -4x2 + 2x3 + (-2 * x3 + x * x3)) = 0
(64 + -32x + 32x + -16x2 + -4x2 + 2x3 + (-2x3 + x4)) = 0

Combine like terms: -32x + 32x = 0
(64 + 0 + -16x2 + -4x2 + 2x3 + -2x3 + x4) = 0
(64 + -16x2 + -4x2 + 2x3 + -2x3 + x4) = 0

Combine like terms: -16x2 + -4x2 = -20x2
(64 + -20x2 + 2x3 + -2x3 + x4) = 0

Combine like terms: 2x3 + -2x3 = 0
(64 + -20x2 + 0 + x4) = 0
(64 + -20x2 + x4) = 0

Solving
64 + -20x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x2)(16 + -1x2) = 0

Factor a difference between two squares.
((2 + x)(2 + -1x))(16 + -1x2) = 0

Factor a difference between two squares.
((4 + x)(4 + -1x))(2 + x)(2 + -1x) = 0

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

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

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

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

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

Simplifying
x = -4
Subproblem 4
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-2, 2, -4, 4}