Z^4-16=

Solution for Z^4-16= equation:

Simplifying
Z4 + -16 = 0

Reorder the terms:
-16 + Z4 = 0

Solving
-16 + Z4 = 0

Solving for variable 'Z'.

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

Add '16' to each side of the equation.
-16 + 16 + Z4 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + Z4 = 0 + 16
Z4 = 0 + 16

Combine like terms: 0 + 16 = 16
Z4 = 16

Simplifying
Z4 = 16

Reorder the terms:
-16 + Z4 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + Z4 = 0

Factor a difference between two squares.
(4 + Z2)(-4 + Z2) = 0

Factor a difference between two squares.
(4 + Z2)((2 + Z)(-2 + Z)) = 0

Subproblem 1
Set the factor '(4 + Z2)' equal to zero and attempt to solve:

Simplifying
4 + Z2 = 0

Solving
4 + Z2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + Z2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + Z2 = 0 + -4
Z2 = 0 + -4

Combine like terms: 0 + -4 = -4
Z2 = -4

Simplifying
Z2 = -4

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 + Z)' equal to zero and attempt to solve:

Simplifying
2 + Z = 0

Solving
2 + Z = 0

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

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

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

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

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

Simplifying
-2 + Z = 0

Solving
-2 + Z = 0

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

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

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

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

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