c^4-64=

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Solution for c^4-64= equation:


Simplifying
c4 + -64 = 0

Reorder the terms:
-64 + c4 = 0

Solving
-64 + c4 = 0

Solving for variable 'c'.

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

Add '64' to each side of the equation.
-64 + 64 + c4 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + c4 = 0 + 64
c4 = 0 + 64

Combine like terms: 0 + 64 = 64
c4 = 64

Simplifying
c4 = 64

Reorder the terms:
-64 + c4 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + c4 = 0

Factor a difference between two squares.
(8 + c2)(-8 + c2) = 0

Subproblem 1

Set the factor '(8 + c2)' equal to zero and attempt to solve: Simplifying 8 + c2 = 0 Solving 8 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + c2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + c2 = 0 + -8 c2 = 0 + -8 Combine like terms: 0 + -8 = -8 c2 = -8 Simplifying c2 = -8 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 '(-8 + c2)' equal to zero and attempt to solve: Simplifying -8 + c2 = 0 Solving -8 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + c2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + c2 = 0 + 8 c2 = 0 + 8 Combine like terms: 0 + 8 = 8 c2 = 8 Simplifying c2 = 8 Take the square root of each side: c = {-2.828427125, 2.828427125}

Solution

c = {-2.828427125, 2.828427125}

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