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Simplifying cos(x) * cos(x) = -1cos(x) Multiply cos * x cosx * cos * x = -1cos(x) Multiply cosx * cos c2o2s2x * x = -1cos(x) Multiply c2o2s2x * x c2o2s2x2 = -1cos(x) Multiply cos * x c2o2s2x2 = -1cosx Solving c2o2s2x2 = -1cosx Solving for variable 'c'. Reorder the terms: cosx + c2o2s2x2 = -1cosx + cosx Combine like terms: -1cosx + cosx = 0 cosx + c2o2s2x2 = 0 Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(1 + cosx) = 0Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 + cosx)' equal to zero and attempt to solve: Simplifying 1 + cosx = 0 Solving 1 + cosx = 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 + cosx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + cosx = 0 + -1 cosx = 0 + -1 Combine like terms: 0 + -1 = -1 cosx = -1 Divide each side by 'osx'. c = -1o-1s-1x-1 Simplifying c = -1o-1s-1x-1Solution
c = {-1o-1s-1x-1}
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