T^4-16=0

Solution for T^4-16=0 equation:

Simplifying
T4 + -16 = 0

Reorder the terms:
-16 + T4 = 0

Solving
-16 + T4 = 0

Solving for variable 'T'.

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

Add '16' to each side of the equation.
-16 + 16 + T4 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + T4 = 0 + 16
T4 = 0 + 16

Combine like terms: 0 + 16 = 16
T4 = 16

Simplifying
T4 = 16

Reorder the terms:
-16 + T4 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + T4 = 0

Factor a difference between two squares.
(4 + T2)(-4 + T2) = 0

Factor a difference between two squares.
(4 + T2)((2 + T)(-2 + T)) = 0

Subproblem 1
Set the factor '(4 + T2)' equal to zero and attempt to solve:

Simplifying
4 + T2 = 0

Solving
4 + T2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + T2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + T2 = 0 + -4
T2 = 0 + -4

Combine like terms: 0 + -4 = -4
T2 = -4

Simplifying
T2 = -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 + T)' equal to zero and attempt to solve:

Simplifying
2 + T = 0

Solving
2 + T = 0

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

Add '-2' to each side of the equation.
2 + -2 + T = 0 + -2

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

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

Simplifying
T = -2
Subproblem 3
Set the factor '(-2 + T)' equal to zero and attempt to solve:

Simplifying
-2 + T = 0

Solving
-2 + T = 0

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

Add '2' to each side of the equation.
-2 + 2 + T = 0 + 2

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

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

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