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Simplifying (3(cos2) * X) + -1(6cos * x) + 3 = 0 Multiply cos2 * X (3cos2X) + -1(6cos * x) + 3 = 0 Multiply cos * x (3cos2X) + -1(6cosx) + 3 = 0 Remove parenthesis around (6cosx) (3cos2X) + -1 * 6cosx + 3 = 0 Multiply -1 * 6 (3cos2X) + -6cosx + 3 = 0 Reorder the terms: 3 + -6cosx + (3cos2X) = 0 Solving 3 + -6cosx + (3cos2X) = 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 + -6cosx + -3 + (3cos2X) = 0 + -3 Reorder the terms: 3 + -3 + -6cosx + (3cos2X) = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6cosx + (3cos2X) = 0 + -3 -6cosx + (3cos2X) = 0 + -3 Combine like terms: 0 + -3 = -3 -6cosx + (3cos2X) = -3 Reorder the terms: 3 + -6cosx + (3cos2X) = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -6cosx + (3cos2X) = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -2cosx + cos2X) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -2cosx + cos2X)' equal to zero and attempt to solve: Simplifying 1 + -2cosx + cos2X = 0 Solving 1 + -2cosx + cos2X = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2cosx + -1 + cos2X = 0 + -1 Reorder the terms: 1 + -1 + -2cosx + cos2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2cosx + cos2X = 0 + -1 -2cosx + cos2X = 0 + -1 Combine like terms: 0 + -1 = -1 -2cosx + cos2X = -1 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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