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Simplifying Cos(5x) = -1cos(3x) Remove parenthesis around (5x) osC * 5x = -1cos(3x) Reorder the terms for easier multiplication: 5osC * x = -1cos(3x) Multiply osC * x 5osxC = -1cos(3x) Remove parenthesis around (3x) 5osxC = -1cos * 3x Reorder the terms for easier multiplication: 5osxC = -1 * 3cos * x Multiply -1 * 3 5osxC = -3cos * x Multiply cos * x 5osxC = -3cosx Solving 5osxC = -3cosx Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Add '3cosx' to each side of the equation. 3cosx + 5osxC = -3cosx + 3cosx Combine like terms: -3cosx + 3cosx = 0 3cosx + 5osxC = 0 Factor out the Greatest Common Factor (GCF), 'osx'. osx(3c + 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 '(3c + 5C)' equal to zero and attempt to solve: Simplifying 3c + 5C = 0 Reorder the terms: 5C + 3c = 0 Solving 5C + 3c = 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 + 3c = 0 + -5C Combine like terms: 5C + -5C = 0 0 + 3c = 0 + -5C 3c = 0 + -5C Remove the zero: 3c = -5C Add '-3c' to each side of the equation. 3c + -3c = -5C + -3c Combine like terms: 3c + -3c = 0 0 = -5C + -3c Simplifying 0 = -5C + -3c 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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