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Simplifying Cos(3x) = cos(2x) Remove parenthesis around (3x) osC * 3x = cos(2x) Reorder the terms for easier multiplication: 3osC * x = cos(2x) Multiply osC * x 3osxC = cos(2x) Remove parenthesis around (2x) 3osxC = cos * 2x Reorder the terms for easier multiplication: 3osxC = 2cos * x Multiply cos * x 3osxC = 2cosx Solving 3osxC = 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 + 3osxC = 2cosx + -2cosx Combine like terms: 2cosx + -2cosx = 0 -2cosx + 3osxC = 0 Factor out the Greatest Common Factor (GCF), 'osx'. osx(-2c + 3C) = 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 + 3C)' equal to zero and attempt to solve: Simplifying -2c + 3C = 0 Reorder the terms: 3C + -2c = 0 Solving 3C + -2c = 0 Move all terms containing o to the left, all other terms to the right. Add '-3C' to each side of the equation. 3C + -3C + -2c = 0 + -3C Combine like terms: 3C + -3C = 0 0 + -2c = 0 + -3C -2c = 0 + -3C Remove the zero: -2c = -3C Add '2c' to each side of the equation. -2c + 2c = -3C + 2c Combine like terms: -2c + 2c = 0 0 = -3C + 2c Simplifying 0 = -3C + 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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