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