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Simplifying 6cos2(2x) + cos(6x) = cos(2x) Remove parenthesis around (2x) 6cos2 * 2x + cos(6x) = cos(2x) Reorder the terms for easier multiplication: 6 * 2cos2 * x + cos(6x) = cos(2x) Multiply 6 * 2 12cos2 * x + cos(6x) = cos(2x) Multiply cos2 * x 12cos2x + cos(6x) = cos(2x) Remove parenthesis around (6x) 12cos2x + cos * 6x = cos(2x) Reorder the terms for easier multiplication: 12cos2x + 6cos * x = cos(2x) Multiply cos * x 12cos2x + 6cosx = cos(2x) Reorder the terms: 6cosx + 12cos2x = cos(2x) Remove parenthesis around (2x) 6cosx + 12cos2x = cos * 2x Reorder the terms for easier multiplication: 6cosx + 12cos2x = 2cos * x Multiply cos * x 6cosx + 12cos2x = 2cosx Solving 6cosx + 12cos2x = 2cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2cosx' to each side of the equation. 6cosx + -2cosx + 12cos2x = 2cosx + -2cosx Combine like terms: 6cosx + -2cosx = 4cosx 4cosx + 12cos2x = 2cosx + -2cosx Combine like terms: 2cosx + -2cosx = 0 4cosx + 12cos2x = 0 Factor out the Greatest Common Factor (GCF), '4cosx'. 4cosx(1 + 3s) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 '(1 + 3s)' equal to zero and attempt to solve: Simplifying 1 + 3s = 0 Solving 1 + 3s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3s = 0 + -1 3s = 0 + -1 Combine like terms: 0 + -1 = -1 3s = -1 Add '-3s' to each side of the equation. 3s + -3s = -1 + -3s Combine like terms: 3s + -3s = 0 0 = -1 + -3s Simplifying 0 = -1 + -3s 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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