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Simplifying 12cos2x + cosx + -13 = 12cos2x + -1cosx + -13cosx + -13 Reorder the terms: -13 + cosx + 12cos2x = 12cos2x + -1cosx + -13cosx + -13 Reorder the terms: -13 + cosx + 12cos2x = -13 + -1cosx + -13cosx + 12cos2x Combine like terms: -1cosx + -13cosx = -14cosx -13 + cosx + 12cos2x = -13 + -14cosx + 12cos2x Add '13' to each side of the equation. -13 + cosx + 13 + 12cos2x = -13 + -14cosx + 13 + 12cos2x Reorder the terms: -13 + 13 + cosx + 12cos2x = -13 + -14cosx + 13 + 12cos2x Combine like terms: -13 + 13 = 0 0 + cosx + 12cos2x = -13 + -14cosx + 13 + 12cos2x cosx + 12cos2x = -13 + -14cosx + 13 + 12cos2x Reorder the terms: cosx + 12cos2x = -13 + 13 + -14cosx + 12cos2x Combine like terms: -13 + 13 = 0 cosx + 12cos2x = 0 + -14cosx + 12cos2x cosx + 12cos2x = -14cosx + 12cos2x Add '-12cos2x' to each side of the equation. cosx + 12cos2x + -12cos2x = -14cosx + 12cos2x + -12cos2x Combine like terms: 12cos2x + -12cos2x = 0 cosx + 0 = -14cosx + 12cos2x + -12cos2x cosx = -14cosx + 12cos2x + -12cos2x Combine like terms: 12cos2x + -12cos2x = 0 cosx = -14cosx + 0 cosx = -14cosx Solving cosx = -14cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '14cosx' to each side of the equation. cosx + 14cosx = -14cosx + 14cosx Combine like terms: cosx + 14cosx = 15cosx 15cosx = -14cosx + 14cosx Combine like terms: -14cosx + 14cosx = 0 15cosx = 0 Divide each side by '15'. cosx = 0 Simplifying cosx = 0 The solution to this equation could not be determined.
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