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Simplifying -2cos2x = 3cosx + 1 Reorder the terms: -2cos2x = 1 + 3cosx Solving -2cos2x = 1 + 3cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3cosx' to each side of the equation. -3cosx + -2cos2x = 1 + 3cosx + -3cosx Combine like terms: 3cosx + -3cosx = 0 -3cosx + -2cos2x = 1 + 0 -3cosx + -2cos2x = 1 Reorder the terms: -1 + -3cosx + -2cos2x = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -3cosx + -2cos2x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 3cosx + 2cos2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 3cosx + 2cos2x)' equal to zero and attempt to solve: Simplifying 1 + 3cosx + 2cos2x = 0 Solving 1 + 3cosx + 2cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3cosx + -1 + 2cos2x = 0 + -1 Reorder the terms: 1 + -1 + 3cosx + 2cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3cosx + 2cos2x = 0 + -1 3cosx + 2cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 3cosx + 2cos2x = -1 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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