t^4=.0256

Solution for t^4=.0256 equation:

Simplifying
t4 = 0.0256

Solving
t4 = 0.0256

Solving for variable 't'.

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

Simplifying
t4 = 0.0256

Reorder the terms:
-0.0256 + t4 = 0.0256 + -0.0256

Combine like terms: 0.0256 + -0.0256 = 0.0000
-0.0256 + t4 = 0.0000

Factor a difference between two squares.
(0.16 + t2)(-0.16 + t2) = 0.0000

Factor a difference between two squares.
(0.16 + t2)((0.4 + t)(-0.4 + t)) = 0.0000

Subproblem 1
Set the factor '(0.16 + t2)' equal to zero and attempt to solve:

Simplifying
0.16 + t2 = 0

Solving
0.16 + t2 = 0

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

Add '-0.16' to each side of the equation.
0.16 + -0.16 + t2 = 0 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + t2 = 0 + -0.16
t2 = 0 + -0.16

Combine like terms: 0 + -0.16 = -0.16
t2 = -0.16

Simplifying
t2 = -0.16

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 '(0.4 + t)' equal to zero and attempt to solve:

Simplifying
0.4 + t = 0

Solving
0.4 + t = 0

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + t = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + t = 0 + -0.4
t = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
t = -0.4

Simplifying
t = -0.4
Subproblem 3
Set the factor '(-0.4 + t)' equal to zero and attempt to solve:

Simplifying
-0.4 + t = 0

Solving
-0.4 + t = 0

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

Add '0.4' to each side of the equation.
-0.4 + 0.4 + t = 0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + t = 0 + 0.4
t = 0 + 0.4

Combine like terms: 0 + 0.4 = 0.4
t = 0.4

Simplifying
t = 0.4
Solution
t = {-0.4, 0.4}