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Simplifying 6cos3x = 6cosx Solving 6cos3x = 6cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6cosx' to each side of the equation. -6cosx + 6cos3x = 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 -6cosx + 6cos3x = 0 Factor out the Greatest Common Factor (GCF), '6cosx'. 6cosx(-1 + s2) = 0 Factor a difference between two squares. 6cosx((1 + s)(-1 + s)) = 0 Ignore the factor 6.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 + s)' equal to zero and attempt to solve: Simplifying 1 + s = 0 Solving 1 + s = 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 + s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s = 0 + -1 s = 0 + -1 Combine like terms: 0 + -1 = -1 s = -1 Add '-1s' to each side of the equation. s + -1s = -1 + -1s Combine like terms: s + -1s = 0 0 = -1 + -1s Simplifying 0 = -1 + -1s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + s)' equal to zero and attempt to solve: Simplifying -1 + s = 0 Solving -1 + s = 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 + s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + s = 0 + 1 s = 0 + 1 Combine like terms: 0 + 1 = 1 s = 1 Add '-1s' to each side of the equation. s + -1s = 1 + -1s Combine like terms: s + -1s = 0 0 = 1 + -1s Simplifying 0 = 1 + -1s 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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