y^4-4096=

Solution for y^4-4096= equation:

Simplifying
y4 + -4096 = 0

Reorder the terms:
-4096 + y4 = 0

Solving
-4096 + y4 = 0

Solving for variable 'y'.

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

Add '4096' to each side of the equation.
-4096 + 4096 + y4 = 0 + 4096

Combine like terms: -4096 + 4096 = 0
0 + y4 = 0 + 4096
y4 = 0 + 4096

Combine like terms: 0 + 4096 = 4096
y4 = 4096

Simplifying
y4 = 4096

Reorder the terms:
-4096 + y4 = 4096 + -4096

Combine like terms: 4096 + -4096 = 0
-4096 + y4 = 0

Factor a difference between two squares.
(64 + y2)(-64 + y2) = 0

Factor a difference between two squares.
(64 + y2)((8 + y)(-8 + y)) = 0

Subproblem 1
Set the factor '(64 + y2)' equal to zero and attempt to solve:

Simplifying
64 + y2 = 0

Solving
64 + y2 = 0

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

Add '-64' to each side of the equation.
64 + -64 + y2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + y2 = 0 + -64
y2 = 0 + -64

Combine like terms: 0 + -64 = -64
y2 = -64

Simplifying
y2 = -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 + y)' equal to zero and attempt to solve:

Simplifying
8 + y = 0

Solving
8 + y = 0

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

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

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

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

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

Simplifying
-8 + y = 0

Solving
-8 + y = 0

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

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

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

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

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