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Simplifying 2cos2x + 8cosx + 4 = 0 Reorder the terms: 4 + 8cosx + 2cos2x = 0 Solving 4 + 8cosx + 2cos2x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8cosx + -4 + 2cos2x = 0 + -4 Reorder the terms: 4 + -4 + 8cosx + 2cos2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8cosx + 2cos2x = 0 + -4 8cosx + 2cos2x = 0 + -4 Combine like terms: 0 + -4 = -4 8cosx + 2cos2x = -4 Reorder the terms: 4 + 8cosx + 2cos2x = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 8cosx + 2cos2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 4cosx + cos2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 4cosx + cos2x)' equal to zero and attempt to solve: Simplifying 2 + 4cosx + cos2x = 0 Solving 2 + 4cosx + cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4cosx + -2 + cos2x = 0 + -2 Reorder the terms: 2 + -2 + 4cosx + cos2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4cosx + cos2x = 0 + -2 4cosx + cos2x = 0 + -2 Combine like terms: 0 + -2 = -2 4cosx + cos2x = -2 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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