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Simplifying 4cos2(3x) + -8cos(3x) + 1 = 0 Remove parenthesis around (3x) 4cos2 * 3x + -8cos(3x) + 1 = 0 Reorder the terms for easier multiplication: 4 * 3cos2 * x + -8cos(3x) + 1 = 0 Multiply 4 * 3 12cos2 * x + -8cos(3x) + 1 = 0 Multiply cos2 * x 12cos2x + -8cos(3x) + 1 = 0 Remove parenthesis around (3x) 12cos2x + -8cos * 3x + 1 = 0 Reorder the terms for easier multiplication: 12cos2x + -8 * 3cos * x + 1 = 0 Multiply -8 * 3 12cos2x + -24cos * x + 1 = 0 Multiply cos * x 12cos2x + -24cosx + 1 = 0 Reorder the terms: 1 + -24cosx + 12cos2x = 0 Solving 1 + -24cosx + 12cos2x = 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 + -24cosx + -1 + 12cos2x = 0 + -1 Reorder the terms: 1 + -1 + -24cosx + 12cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -24cosx + 12cos2x = 0 + -1 -24cosx + 12cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 -24cosx + 12cos2x = -1 Reorder the terms: 1 + -24cosx + 12cos2x = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -24cosx + 12cos2x = 0 The solution to this equation could not be determined.
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