f^4-256t^4=0

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Solution for f^4-256t^4=0 equation: 


Simplifying
f4 + -256t4 = 0

Solving
f4 + -256t4 = 0

Solving for variable 'f'.

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

Add '256t4' to each side of the equation.
f4 + -256t4 + 256t4 = 0 + 256t4

Combine like terms: -256t4 + 256t4 = 0
f4 + 0 = 0 + 256t4
f4 = 0 + 256t4
Remove the zero:
f4 = 256t4

Simplifying
f4 = 256t4

Combine like terms: 256t4 + -256t4 = 0
f4 + -256t4 = 0

Factor a difference between two squares.
(f2 + 16t2)(f2 + -16t2) = 0

Factor a difference between two squares.
(f2 + 16t2)((f + 4t)(f + -4t)) = 0


Subproblem 1
Set the factor '(f2 + 16t2)' equal to zero and attempt to solve:

Simplifying
f2 + 16t2 = 0

Solving
f2 + 16t2 = 0

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

Add '-16t2' to each side of the equation.
f2 + 16t2 + -16t2 = 0 + -16t2

Combine like terms: 16t2 + -16t2 = 0
f2 + 0 = 0 + -16t2
f2 = 0 + -16t2
Remove the zero:
f2 = -16t2

Simplifying
f2 = -16t2

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 '(f + 4t)' equal to zero and attempt to solve:

Simplifying
f + 4t = 0

Solving
f + 4t = 0

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

Add '-4t' to each side of the equation.
f + 4t + -4t = 0 + -4t

Combine like terms: 4t + -4t = 0
f + 0 = 0 + -4t
f = 0 + -4t
Remove the zero:
f = -4t

Simplifying
f = -4t

Subproblem 3
Set the factor '(f + -4t)' equal to zero and attempt to solve:

Simplifying
f + -4t = 0

Solving
f + -4t = 0

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

Add '4t' to each side of the equation.
f + -4t + 4t = 0 + 4t

Combine like terms: -4t + 4t = 0
f + 0 = 0 + 4t
f = 0 + 4t
Remove the zero:
f = 4t

Simplifying
f = 4t
Solution
f = {-4t, 4t}

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