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Simplifying 4cos5x + -1cosx = 0 Reorder the terms: -1cosx + 4cos5x = 0 Solving -1cosx + 4cos5x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(-1 + 4s4) = 0 Factor a difference between two squares. cosx((1 + 2s2)(-1 + 2s2)) = 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 '(1 + 2s2)' equal to zero and attempt to solve: Simplifying 1 + 2s2 = 0 Solving 1 + 2s2 = 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 + 2s2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2s2 = 0 + -1 2s2 = 0 + -1 Combine like terms: 0 + -1 = -1 2s2 = -1 Add '-2s2' to each side of the equation. 2s2 + -2s2 = -1 + -2s2 Combine like terms: 2s2 + -2s2 = 0 0 = -1 + -2s2 Simplifying 0 = -1 + -2s2 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 + 2s2)' equal to zero and attempt to solve: Simplifying -1 + 2s2 = 0 Solving -1 + 2s2 = 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 + 2s2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2s2 = 0 + 1 2s2 = 0 + 1 Combine like terms: 0 + 1 = 1 2s2 = 1 Add '-2s2' to each side of the equation. 2s2 + -2s2 = 1 + -2s2 Combine like terms: 2s2 + -2s2 = 0 0 = 1 + -2s2 Simplifying 0 = 1 + -2s2 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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