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Simplifying cos2(x) = -1cos2(x) + cosx Multiply cos2 * x cos2x = -1cos2(x) + cosx Multiply cos2 * x cos2x = -1cos2x + cosx Reorder the terms: cos2x = cosx + -1cos2x Solving cos2x = cosx + -1cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1cosx' to each side of the equation. -1cosx + cos2x = cosx + -1cosx + -1cos2x Combine like terms: cosx + -1cosx = 0 -1cosx + cos2x = 0 + -1cos2x -1cosx + cos2x = -1cos2x Add 'cos2x' to each side of the equation. -1cosx + cos2x + cos2x = -1cos2x + cos2x Combine like terms: cos2x + cos2x = 2cos2x -1cosx + 2cos2x = -1cos2x + cos2x Combine like terms: -1cos2x + cos2x = 0 -1cosx + 2cos2x = 0 Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(-1 + 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 '(-1 + 2s)' equal to zero and attempt to solve: Simplifying -1 + 2s = 0 Solving -1 + 2s = 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 + 2s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2s = 0 + 1 2s = 0 + 1 Combine like terms: 0 + 1 = 1 2s = 1 Add '-2s' to each side of the equation. 2s + -2s = 1 + -2s Combine like terms: 2s + -2s = 0 0 = 1 + -2s Simplifying 0 = 1 + -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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