(u+2)*(u-2)*(u^2+4)*(u^4+16)=

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

Simplifying
(u + 2)(u + -2)(u2 + 4)(u4 + 16) = 0

Reorder the terms:
(2 + u)(u + -2)(u2 + 4)(u4 + 16) = 0

Reorder the terms:
(2 + u)(-2 + u)(u2 + 4)(u4 + 16) = 0

Reorder the terms:
(2 + u)(-2 + u)(4 + u2)(u4 + 16) = 0

Reorder the terms:
(2 + u)(-2 + u)(4 + u2)(16 + u4) = 0

Multiply (2 + u) * (-2 + u)
(2(-2 + u) + u(-2 + u))(4 + u2)(16 + u4) = 0
((-2 * 2 + u * 2) + u(-2 + u))(4 + u2)(16 + u4) = 0
((-4 + 2u) + u(-2 + u))(4 + u2)(16 + u4) = 0
(-4 + 2u + (-2 * u + u * u))(4 + u2)(16 + u4) = 0
(-4 + 2u + (-2u + u2))(4 + u2)(16 + u4) = 0

Combine like terms: 2u + -2u = 0
(-4 + 0 + u2)(4 + u2)(16 + u4) = 0
(-4 + u2)(4 + u2)(16 + u4) = 0

Multiply (-4 + u2) * (4 + u2)
(-4(4 + u2) + u2(4 + u2))(16 + u4) = 0
((4 * -4 + u2 * -4) + u2(4 + u2))(16 + u4) = 0
((-16 + -4u2) + u2(4 + u2))(16 + u4) = 0
(-16 + -4u2 + (4 * u2 + u2 * u2))(16 + u4) = 0
(-16 + -4u2 + (4u2 + u4))(16 + u4) = 0

Combine like terms: -4u2 + 4u2 = 0
(-16 + 0 + u4)(16 + u4) = 0
(-16 + u4)(16 + u4) = 0

Multiply (-16 + u4) * (16 + u4)
(-16(16 + u4) + u4(16 + u4)) = 0
((16 * -16 + u4 * -16) + u4(16 + u4)) = 0
((-256 + -16u4) + u4(16 + u4)) = 0
(-256 + -16u4 + (16 * u4 + u4 * u4)) = 0
(-256 + -16u4 + (16u4 + u8)) = 0

Combine like terms: -16u4 + 16u4 = 0
(-256 + 0 + u8) = 0
(-256 + u8) = 0

Solving
-256 + u8 = 0

Solving for variable 'u'.

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

Add '256' to each side of the equation.
-256 + 256 + u8 = 0 + 256

Combine like terms: -256 + 256 = 0
0 + u8 = 0 + 256
u8 = 0 + 256

Combine like terms: 0 + 256 = 256
u8 = 256

Simplifying
u8 = 256

Reorder the terms:
-256 + u8 = 256 + -256

Combine like terms: 256 + -256 = 0
-256 + u8 = 0

Factor a difference between two squares.
(16 + u4)(-16 + u4) = 0

Factor a difference between two squares.
(16 + u4)((4 + u2)(-4 + u2)) = 0

Factor a difference between two squares.
(16 + u4)((4 + u2)((2 + u)(-2 + u))) = 0

Subproblem 1
Set the factor '(16 + u4)' equal to zero and attempt to solve:

Simplifying
16 + u4 = 0

Solving
16 + u4 = 0

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

Add '-16' to each side of the equation.
16 + -16 + u4 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + u4 = 0 + -16
u4 = 0 + -16

Combine like terms: 0 + -16 = -16
u4 = -16

Simplifying
u4 = -16

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 '(4 + u2)' equal to zero and attempt to solve:

Simplifying
4 + u2 = 0

Solving
4 + u2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + u2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + u2 = 0 + -4
u2 = 0 + -4

Combine like terms: 0 + -4 = -4
u2 = -4

Simplifying
u2 = -4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(2 + u)' equal to zero and attempt to solve:

Simplifying
2 + u = 0

Solving
2 + u = 0

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

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

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

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

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

Simplifying
-2 + u = 0

Solving
-2 + u = 0

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

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

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

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

Simplifying
u = 2
Solution
u = {-2, 2}