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Simplifying cos2(2x) + cos(3x) = 0 Remove parenthesis around (2x) cos2 * 2x + cos(3x) = 0 Reorder the terms for easier multiplication: 2cos2 * x + cos(3x) = 0 Multiply cos2 * x 2cos2x + cos(3x) = 0 Remove parenthesis around (3x) 2cos2x + cos * 3x = 0 Reorder the terms for easier multiplication: 2cos2x + 3cos * x = 0 Multiply cos * x 2cos2x + 3cosx = 0 Reorder the terms: 3cosx + 2cos2x = 0 Solving 3cosx + 2cos2x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(3 + 2s) = 0Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + 2s)' equal to zero and attempt to solve: Simplifying 3 + 2s = 0 Solving 3 + 2s = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2s = 0 + -3 2s = 0 + -3 Combine like terms: 0 + -3 = -3 2s = -3 Add '-2s' to each side of the equation. 2s + -2s = -3 + -2s Combine like terms: 2s + -2s = 0 0 = -3 + -2s Simplifying 0 = -3 + -2s 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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