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Simplifying Cos(5x) = -1cos(2x) Remove parenthesis around (5x) osC * 5x = -1cos(2x) Reorder the terms for easier multiplication: 5osC * x = -1cos(2x) Multiply osC * x 5osxC = -1cos(2x) Remove parenthesis around (2x) 5osxC = -1cos * 2x Reorder the terms for easier multiplication: 5osxC = -1 * 2cos * x Multiply -1 * 2 5osxC = -2cos * x Multiply cos * x 5osxC = -2cosx Solving 5osxC = -2cosx Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Add '2cosx' to each side of the equation. 2cosx + 5osxC = -2cosx + 2cosx Combine like terms: -2cosx + 2cosx = 0 2cosx + 5osxC = 0 Factor out the Greatest Common Factor (GCF), 'osx'. osx(2c + 5C) = 0Subproblem 1
Set the factor 'osx' equal to zero and attempt to solve: Simplifying osx = 0 Solving osx = 0 Move all terms containing o to the left, all other terms to the right. Simplifying osx = 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 '(2c + 5C)' equal to zero and attempt to solve: Simplifying 2c + 5C = 0 Reorder the terms: 5C + 2c = 0 Solving 5C + 2c = 0 Move all terms containing o to the left, all other terms to the right. Add '-5C' to each side of the equation. 5C + -5C + 2c = 0 + -5C Combine like terms: 5C + -5C = 0 0 + 2c = 0 + -5C 2c = 0 + -5C Remove the zero: 2c = -5C Add '-2c' to each side of the equation. 2c + -2c = -5C + -2c Combine like terms: 2c + -2c = 0 0 = -5C + -2c Simplifying 0 = -5C + -2c 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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