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Simplifying y = cos(3y) Remove parenthesis around (3y) y = cos * 3y Reorder the terms for easier multiplication: y = 3cos * y Multiply cos * y y = 3cosy Solving y = 3cosy Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3cosy' to each side of the equation. -3cosy + y = 3cosy + -3cosy Combine like terms: 3cosy + -3cosy = 0 -3cosy + y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-3cos + 1) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-3cos + 1)' equal to zero and attempt to solve: Simplifying -3cos + 1 = 0 Reorder the terms: 1 + -3cos = 0 Solving 1 + -3cos = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3cos = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3cos = 0 + -1 -3cos = 0 + -1 Combine like terms: 0 + -1 = -1 -3cos = -1 Add '3cos' to each side of the equation. -3cos + 3cos = -1 + 3cos Combine like terms: -3cos + 3cos = 0 0 = -1 + 3cos Simplifying 0 = -1 + 3cos The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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