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Simplifying 5cos2 * 3x + -1cos(3x) = 0 Reorder the terms for easier multiplication: 5 * 3cos2 * x + -1cos(3x) = 0 Multiply 5 * 3 15cos2 * x + -1cos(3x) = 0 Multiply cos2 * x 15cos2x + -1cos(3x) = 0 Remove parenthesis around (3x) 15cos2x + -1cos * 3x = 0 Reorder the terms for easier multiplication: 15cos2x + -1 * 3cos * x = 0 Multiply -1 * 3 15cos2x + -3cos * x = 0 Multiply cos * x 15cos2x + -3cosx = 0 Reorder the terms: -3cosx + 15cos2x = 0 Solving -3cosx + 15cos2x = 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), '3cosx'. 3cosx(-1 + 5s) = 0 Ignore the factor 3.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 + 5s)' equal to zero and attempt to solve: Simplifying -1 + 5s = 0 Solving -1 + 5s = 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 + 5s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5s = 0 + 1 5s = 0 + 1 Combine like terms: 0 + 1 = 1 5s = 1 Add '-5s' to each side of the equation. 5s + -5s = 1 + -5s Combine like terms: 5s + -5s = 0 0 = 1 + -5s Simplifying 0 = 1 + -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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