a^4-4096=0

Solution for a^4-4096=0 equation:

Simplifying
a4 + -4096 = 0

Reorder the terms:
-4096 + a4 = 0

Solving
-4096 + a4 = 0

Solving for variable 'a'.

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

Add '4096' to each side of the equation.
-4096 + 4096 + a4 = 0 + 4096

Combine like terms: -4096 + 4096 = 0
0 + a4 = 0 + 4096
a4 = 0 + 4096

Combine like terms: 0 + 4096 = 4096
a4 = 4096

Simplifying
a4 = 4096

Reorder the terms:
-4096 + a4 = 4096 + -4096

Combine like terms: 4096 + -4096 = 0
-4096 + a4 = 0

Factor a difference between two squares.
(64 + a2)(-64 + a2) = 0

Factor a difference between two squares.
(64 + a2)((8 + a)(-8 + a)) = 0

Subproblem 1
Set the factor '(64 + a2)' equal to zero and attempt to solve:

Simplifying
64 + a2 = 0

Solving
64 + a2 = 0

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

Add '-64' to each side of the equation.
64 + -64 + a2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + a2 = 0 + -64
a2 = 0 + -64

Combine like terms: 0 + -64 = -64
a2 = -64

Simplifying
a2 = -64

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 '(8 + a)' equal to zero and attempt to solve:

Simplifying
8 + a = 0

Solving
8 + a = 0

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

Add '-8' to each side of the equation.
8 + -8 + a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + a = 0 + -8
a = 0 + -8

Combine like terms: 0 + -8 = -8
a = -8

Simplifying
a = -8
Subproblem 3
Set the factor '(-8 + a)' equal to zero and attempt to solve:

Simplifying
-8 + a = 0

Solving
-8 + a = 0

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

Add '8' to each side of the equation.
-8 + 8 + a = 0 + 8

Combine like terms: -8 + 8 = 0
0 + a = 0 + 8
a = 0 + 8

Combine like terms: 0 + 8 = 8
a = 8

Simplifying
a = 8
Solution
a = {-8, 8}