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Simplifying sec4x + -1sec2x = 0 Reorder the terms: -1c2esx + c4esx = 0 Solving -1c2esx + c4esx = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c2esx'. c2esx(-1 + c2) = 0 Factor a difference between two squares. c2esx((1 + c)(-1 + c)) = 0Subproblem 1
Set the factor 'c2esx' equal to zero and attempt to solve: Simplifying c2esx = 0 Solving c2esx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2esx = 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 '(1 + c)' equal to zero and attempt to solve: Simplifying 1 + c = 0 Solving 1 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c = 0 + -1 c = 0 + -1 Combine like terms: 0 + -1 = -1 c = -1 Simplifying c = -1Subproblem 3
Set the factor '(-1 + c)' equal to zero and attempt to solve: Simplifying -1 + c = 0 Solving -1 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + c = 0 + 1 c = 0 + 1 Combine like terms: 0 + 1 = 1 c = 1 Simplifying c = 1Solution
c = {-1, 1}
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