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Simplifying 4cos3x = 5cosx Solving 4cos3x = 5cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5cosx' to each side of the equation. -5cosx + 4cos3x = 5cosx + -5cosx Combine like terms: 5cosx + -5cosx = 0 -5cosx + 4cos3x = 0 Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(-5 + 4s2) = 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 + 4s2)' equal to zero and attempt to solve: Simplifying -5 + 4s2 = 0 Solving -5 + 4s2 = 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 + 4s2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4s2 = 0 + 5 4s2 = 0 + 5 Combine like terms: 0 + 5 = 5 4s2 = 5 Add '-4s2' to each side of the equation. 4s2 + -4s2 = 5 + -4s2 Combine like terms: 4s2 + -4s2 = 0 0 = 5 + -4s2 Simplifying 0 = 5 + -4s2 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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