256n^4-c^4=0

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Solution for 256n^4-c^4=0 equation: 


Simplifying
256n4 + -1c4 = 0

Reorder the terms:
-1c4 + 256n4 = 0

Solving
-1c4 + 256n4 = 0

Solving for variable 'c'.

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

Add '-256n4' to each side of the equation.
-1c4 + 256n4 + -256n4 = 0 + -256n4

Combine like terms: 256n4 + -256n4 = 0
-1c4 + 0 = 0 + -256n4
-1c4 = 0 + -256n4
Remove the zero:
-1c4 = -256n4

Divide each side by '-1'.
c4 = 256n4

Simplifying
c4 = 256n4

Combine like terms: 256n4 + -256n4 = 0
c4 + -256n4 = 0

Factor a difference between two squares.
(c2 + 16n2)(c2 + -16n2) = 0

Factor a difference between two squares.
(c2 + 16n2)((c + 4n)(c + -4n)) = 0


Subproblem 1
Set the factor '(c2 + 16n2)' equal to zero and attempt to solve:

Simplifying
c2 + 16n2 = 0

Solving
c2 + 16n2 = 0

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

Add '-16n2' to each side of the equation.
c2 + 16n2 + -16n2 = 0 + -16n2

Combine like terms: 16n2 + -16n2 = 0
c2 + 0 = 0 + -16n2
c2 = 0 + -16n2
Remove the zero:
c2 = -16n2

Simplifying
c2 = -16n2

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 '(c + 4n)' equal to zero and attempt to solve:

Simplifying
c + 4n = 0

Solving
c + 4n = 0

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

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

Combine like terms: 4n + -4n = 0
c + 0 = 0 + -4n
c = 0 + -4n
Remove the zero:
c = -4n

Simplifying
c = -4n

Subproblem 3
Set the factor '(c + -4n)' equal to zero and attempt to solve:

Simplifying
c + -4n = 0

Solving
c + -4n = 0

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

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

Combine like terms: -4n + 4n = 0
c + 0 = 0 + 4n
c = 0 + 4n
Remove the zero:
c = 4n

Simplifying
c = 4n
Solution
c = {-4n, 4n}

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