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