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Simplifying Cos(9x) = cos(5x) + -1cos(x) Remove parenthesis around (9x) osC * 9x = cos(5x) + -1cos(x) Reorder the terms for easier multiplication: 9osC * x = cos(5x) + -1cos(x) Multiply osC * x 9osxC = cos(5x) + -1cos(x) Remove parenthesis around (5x) 9osxC = cos * 5x + -1cos(x) Reorder the terms for easier multiplication: 9osxC = 5cos * x + -1cos(x) Multiply cos * x 9osxC = 5cosx + -1cos(x) Multiply cos * x 9osxC = 5cosx + -1cosx Combine like terms: 5cosx + -1cosx = 4cosx 9osxC = 4cosx Solving 9osxC = 4cosx Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Add '-4cosx' to each side of the equation. -4cosx + 9osxC = 4cosx + -4cosx Combine like terms: 4cosx + -4cosx = 0 -4cosx + 9osxC = 0 Factor out the Greatest Common Factor (GCF), 'osx'. osx(-4c + 9C) = 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 '(-4c + 9C)' equal to zero and attempt to solve: Simplifying -4c + 9C = 0 Reorder the terms: 9C + -4c = 0 Solving 9C + -4c = 0 Move all terms containing o to the left, all other terms to the right. Add '-9C' to each side of the equation. 9C + -9C + -4c = 0 + -9C Combine like terms: 9C + -9C = 0 0 + -4c = 0 + -9C -4c = 0 + -9C Remove the zero: -4c = -9C Add '4c' to each side of the equation. -4c + 4c = -9C + 4c Combine like terms: -4c + 4c = 0 0 = -9C + 4c Simplifying 0 = -9C + 4c 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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