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Simplifying -1cos2x + -6cosx + -5 = 0 Reorder the terms: -5 + -6cosx + -1cos2x = 0 Solving -5 + -6cosx + -1cos2x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -6cosx + 5 + -1cos2x = 0 + 5 Reorder the terms: -5 + 5 + -6cosx + -1cos2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6cosx + -1cos2x = 0 + 5 -6cosx + -1cos2x = 0 + 5 Combine like terms: 0 + 5 = 5 -6cosx + -1cos2x = 5 Reorder the terms: -5 + -6cosx + -1cos2x = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -6cosx + -1cos2x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 6cosx + cos2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 6cosx + cos2x)' equal to zero and attempt to solve: Simplifying 5 + 6cosx + cos2x = 0 Solving 5 + 6cosx + cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 6cosx + -5 + cos2x = 0 + -5 Reorder the terms: 5 + -5 + 6cosx + cos2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6cosx + cos2x = 0 + -5 6cosx + cos2x = 0 + -5 Combine like terms: 0 + -5 = -5 6cosx + cos2x = -5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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