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Simplifying c4 + -4096 = 0 Reorder the terms: -4096 + c4 = 0 Solving -4096 + c4 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4096' to each side of the equation. -4096 + 4096 + c4 = 0 + 4096 Combine like terms: -4096 + 4096 = 0 0 + c4 = 0 + 4096 c4 = 0 + 4096 Combine like terms: 0 + 4096 = 4096 c4 = 4096 Simplifying c4 = 4096 Reorder the terms: -4096 + c4 = 4096 + -4096 Combine like terms: 4096 + -4096 = 0 -4096 + c4 = 0 Factor a difference between two squares. (64 + c2)(-64 + c2) = 0 Factor a difference between two squares. (64 + c2)((8 + c)(-8 + c)) = 0Subproblem 1
Set the factor '(64 + c2)' equal to zero and attempt to solve: Simplifying 64 + c2 = 0 Solving 64 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + c2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + c2 = 0 + -64 c2 = 0 + -64 Combine like terms: 0 + -64 = -64 c2 = -64 Simplifying c2 = -64 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 + c)' equal to zero and attempt to solve: Simplifying 8 + c = 0 Solving 8 + c = 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 + c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + c = 0 + -8 c = 0 + -8 Combine like terms: 0 + -8 = -8 c = -8 Simplifying c = -8Subproblem 3
Set the factor '(-8 + c)' equal to zero and attempt to solve: Simplifying -8 + c = 0 Solving -8 + c = 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 + c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + c = 0 + 8 c = 0 + 8 Combine like terms: 0 + 8 = 8 c = 8 Simplifying c = 8Solution
c = {-8, 8}
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