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Simplifying cos(2x) + 2cos2x = 0 Remove parenthesis around (2x) cos * 2x + 2cos2x = 0 Reorder the terms for easier multiplication: 2cos * x + 2cos2x = 0 Multiply cos * x 2cosx + 2cos2x = 0 Solving 2cosx + 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), '2cosx'. 2cosx(1 + s) = 0 Ignore the factor 2.Subproblem 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 '(1 + s)' equal to zero and attempt to solve: Simplifying 1 + s = 0 Solving 1 + s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s = 0 + -1 s = 0 + -1 Combine like terms: 0 + -1 = -1 s = -1 Add '-1s' to each side of the equation. s + -1s = -1 + -1s Combine like terms: s + -1s = 0 0 = -1 + -1s Simplifying 0 = -1 + -1s 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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