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Simplifying 2cos2x + 1 = -4cosx + -2cos2x Reorder the terms: 1 + 2cos2x = -4cosx + -2cos2x Solving 1 + 2cos2x = -4cosx + -2cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4cosx' to each side of the equation. 1 + 4cosx + 2cos2x = -4cosx + 4cosx + -2cos2x Combine like terms: -4cosx + 4cosx = 0 1 + 4cosx + 2cos2x = 0 + -2cos2x 1 + 4cosx + 2cos2x = -2cos2x Add '2cos2x' to each side of the equation. 1 + 4cosx + 2cos2x + 2cos2x = -2cos2x + 2cos2x Combine like terms: 2cos2x + 2cos2x = 4cos2x 1 + 4cosx + 4cos2x = -2cos2x + 2cos2x Combine like terms: -2cos2x + 2cos2x = 0 1 + 4cosx + 4cos2x = 0 Add '-1' to each side of the equation. 1 + 4cosx + -1 + 4cos2x = 0 + -1 Reorder the terms: 1 + -1 + 4cosx + 4cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4cosx + 4cos2x = 0 + -1 4cosx + 4cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 4cosx + 4cos2x = -1 Reorder the terms: 1 + 4cosx + 4cos2x = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 4cosx + 4cos2x = 0 The solution to this equation could not be determined.
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