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Simplifying cos3x = 25cosx Solving cos3x = 25cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25cosx' to each side of the equation. -25cosx + cos3x = 25cosx + -25cosx Combine like terms: 25cosx + -25cosx = 0 -25cosx + cos3x = 0 Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(-25 + s2) = 0 Factor a difference between two squares. cosx((5 + s)(-5 + s)) = 0Subproblem 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 '(5 + s)' equal to zero and attempt to solve: Simplifying 5 + s = 0 Solving 5 + s = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + s = 0 + -5 s = 0 + -5 Combine like terms: 0 + -5 = -5 s = -5 Add '-1s' to each side of the equation. s + -1s = -5 + -1s Combine like terms: s + -1s = 0 0 = -5 + -1s Simplifying 0 = -5 + -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 '(-5 + s)' equal to zero and attempt to solve: Simplifying -5 + s = 0 Solving -5 + s = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + s = 0 + 5 s = 0 + 5 Combine like terms: 0 + 5 = 5 s = 5 Add '-1s' to each side of the equation. s + -1s = 5 + -1s Combine like terms: s + -1s = 0 0 = 5 + -1s Simplifying 0 = 5 + -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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