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Simplifying 5cos2(3x + 1) + 2cos(3x + 1) + -1 = 0 Reorder the terms: 5cos2(1 + 3x) + 2cos(3x + 1) + -1 = 0 (1 * 5cos2 + 3x * 5cos2) + 2cos(3x + 1) + -1 = 0 (5cos2 + 15cos2x) + 2cos(3x + 1) + -1 = 0 Reorder the terms: 5cos2 + 15cos2x + 2cos(1 + 3x) + -1 = 0 5cos2 + 15cos2x + (1 * 2cos + 3x * 2cos) + -1 = 0 5cos2 + 15cos2x + (2cos + 6cosx) + -1 = 0 Reorder the terms: -1 + 2cos + 6cosx + 5cos2 + 15cos2x = 0 Solving -1 + 2cos + 6cosx + 5cos2 + 15cos2x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2cos + 6cosx + 5cos2 + 1 + 15cos2x = 0 + 1 Reorder the terms: -1 + 1 + 2cos + 6cosx + 5cos2 + 15cos2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2cos + 6cosx + 5cos2 + 15cos2x = 0 + 1 2cos + 6cosx + 5cos2 + 15cos2x = 0 + 1 Combine like terms: 0 + 1 = 1 2cos + 6cosx + 5cos2 + 15cos2x = 1 Reorder the terms: -1 + 2cos + 6cosx + 5cos2 + 15cos2x = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 2cos + 6cosx + 5cos2 + 15cos2x = 0 The solution to this equation could not be determined.
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