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Simplifying sec5x = 4secx Solving c5esx = 4cesx Solving for variable 'c'. Reorder the terms: -4cesx + c5esx = 4cesx + -4cesx Combine like terms: 4cesx + -4cesx = 0 -4cesx + c5esx = 0 Factor out the Greatest Common Factor (GCF), 'cesx'. cesx(-4 + c4) = 0 Factor a difference between two squares. cesx((2 + c2)(-2 + c2)) = 0Subproblem 1
Set the factor 'cesx' equal to zero and attempt to solve: Simplifying cesx = 0 Solving cesx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cesx = 0 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 + c2)' equal to zero and attempt to solve: Simplifying 2 + c2 = 0 Solving 2 + c2 = 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 + c2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + c2 = 0 + -2 c2 = 0 + -2 Combine like terms: 0 + -2 = -2 c2 = -2 Simplifying c2 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-2 + c2)' equal to zero and attempt to solve: Simplifying -2 + c2 = 0 Solving -2 + c2 = 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 + c2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + c2 = 0 + 2 c2 = 0 + 2 Combine like terms: 0 + 2 = 2 c2 = 2 Simplifying c2 = 2 Take the square root of each side: c = {-1.414213562, 1.414213562}Solution
c = {-1.414213562, 1.414213562}
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