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Simplifying -4cos2x + -6cosx + -2 = 0 Reorder the terms: -2 + -6cosx + -4cos2x = 0 Solving -2 + -6cosx + -4cos2x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -6cosx + 2 + -4cos2x = 0 + 2 Reorder the terms: -2 + 2 + -6cosx + -4cos2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -6cosx + -4cos2x = 0 + 2 -6cosx + -4cos2x = 0 + 2 Combine like terms: 0 + 2 = 2 -6cosx + -4cos2x = 2 Reorder the terms: -2 + -6cosx + -4cos2x = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -6cosx + -4cos2x = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(1 + 3cosx + 2cos2x) = 0 Ignore the factor -2.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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