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Simplifying 5cos2x + 2cosx = 0 Reorder the terms: 2cosx + 5cos2x = 0 Solving 2cosx + 5cos2x = 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(2 + 5s) = 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 '(2 + 5s)' equal to zero and attempt to solve: Simplifying 2 + 5s = 0 Solving 2 + 5s = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5s = 0 + -2 5s = 0 + -2 Combine like terms: 0 + -2 = -2 5s = -2 Add '-5s' to each side of the equation. 5s + -5s = -2 + -5s Combine like terms: 5s + -5s = 0 0 = -2 + -5s Simplifying 0 = -2 + -5s 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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