256n^4-c^4=

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Solution for 256n^4-c^4= 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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