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Simplifying Cos(5x) = 12cos(x) Remove parenthesis around (5x) osC * 5x = 12cos(x) Reorder the terms for easier multiplication: 5osC * x = 12cos(x) Multiply osC * x 5osxC = 12cos(x) Multiply cos * x 5osxC = 12cosx Solving 5osxC = 12cosx Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Add '-12cosx' to each side of the equation. -12cosx + 5osxC = 12cosx + -12cosx Combine like terms: 12cosx + -12cosx = 0 -12cosx + 5osxC = 0 Factor out the Greatest Common Factor (GCF), 'osx'. osx(-12c + 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 '(-12c + 5C)' equal to zero and attempt to solve: Simplifying -12c + 5C = 0 Reorder the terms: 5C + -12c = 0 Solving 5C + -12c = 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 + -12c = 0 + -5C Combine like terms: 5C + -5C = 0 0 + -12c = 0 + -5C -12c = 0 + -5C Remove the zero: -12c = -5C Add '12c' to each side of the equation. -12c + 12c = -5C + 12c Combine like terms: -12c + 12c = 0 0 = -5C + 12c Simplifying 0 = -5C + 12c 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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