(4x+4)(4x-4)(16x^2+16)=

Solution for (4x+4)(4x-4)(16x^2+16)= equation:

Simplifying
(4x + 4)(4x + -4)(16x2 + 16) = 0

Reorder the terms:
(4 + 4x)(4x + -4)(16x2 + 16) = 0

Reorder the terms:
(4 + 4x)(-4 + 4x)(16x2 + 16) = 0

Reorder the terms:
(4 + 4x)(-4 + 4x)(16 + 16x2) = 0

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

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

Multiply (-16 + 16x2) * (16 + 16x2)
(-16(16 + 16x2) + 16x2 * (16 + 16x2)) = 0
((16 * -16 + 16x2 * -16) + 16x2 * (16 + 16x2)) = 0
((-256 + -256x2) + 16x2 * (16 + 16x2)) = 0
(-256 + -256x2 + (16 * 16x2 + 16x2 * 16x2)) = 0
(-256 + -256x2 + (256x2 + 256x4)) = 0

Combine like terms: -256x2 + 256x2 = 0
(-256 + 0 + 256x4) = 0
(-256 + 256x4) = 0

Solving
-256 + 256x4 = 0

Solving for variable 'x'.

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

Add '256' to each side of the equation.
-256 + 256 + 256x4 = 0 + 256

Combine like terms: -256 + 256 = 0
0 + 256x4 = 0 + 256
256x4 = 0 + 256

Combine like terms: 0 + 256 = 256
256x4 = 256

Divide each side by '256'.
x4 = 1

Simplifying
x4 = 1

Reorder the terms:
-1 + x4 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + x4 = 0

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

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

Subproblem 1
Set the factor '(1 + x2)' equal to zero and attempt to solve:

Simplifying
1 + x2 = 0

Solving
1 + x2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x2 = 0 + -1
x2 = 0 + -1

Combine like terms: 0 + -1 = -1
x2 = -1

Simplifying
x2 = -1

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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Subproblem 3
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-1, 1}