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Simplifying 4c4 + -1 = 63 Reorder the terms: -1 + 4c4 = 63 Solving -1 + 4c4 = 63 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4c4 = 63 + 1 Combine like terms: -1 + 1 = 0 0 + 4c4 = 63 + 1 4c4 = 63 + 1 Combine like terms: 63 + 1 = 64 4c4 = 64 Divide each side by '4'. c4 = 16 Simplifying c4 = 16 Reorder the terms: -16 + c4 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + c4 = 0 Factor a difference between two squares. (4 + c2)(-4 + c2) = 0 Factor a difference between two squares. (4 + c2)((2 + c)(-2 + c)) = 0Subproblem 1
Set the factor '(4 + c2)' equal to zero and attempt to solve: Simplifying 4 + c2 = 0 Solving 4 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + c2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + c2 = 0 + -4 c2 = 0 + -4 Combine like terms: 0 + -4 = -4 c2 = -4 Simplifying c2 = -4 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 '(2 + c)' equal to zero and attempt to solve: Simplifying 2 + c = 0 Solving 2 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + c = 0 + -2 c = 0 + -2 Combine like terms: 0 + -2 = -2 c = -2 Simplifying c = -2Subproblem 3
Set the factor '(-2 + c)' equal to zero and attempt to solve: Simplifying -2 + c = 0 Solving -2 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + c = 0 + 2 c = 0 + 2 Combine like terms: 0 + 2 = 2 c = 2 Simplifying c = 2Solution
c = {-2, 2}
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