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Simplifying x = 5cosx Solving x = 5cosx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5cosx' to each side of the equation. -5cosx + x = 5cosx + -5cosx Combine like terms: 5cosx + -5cosx = 0 -5cosx + x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-5cos + 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 '(-5cos + 1)' equal to zero and attempt to solve: Simplifying -5cos + 1 = 0 Reorder the terms: 1 + -5cos = 0 Solving 1 + -5cos = 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 + -5cos = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5cos = 0 + -1 -5cos = 0 + -1 Combine like terms: 0 + -1 = -1 -5cos = -1 Add '5cos' to each side of the equation. -5cos + 5cos = -1 + 5cos Combine like terms: -5cos + 5cos = 0 0 = -1 + 5cos Simplifying 0 = -1 + 5cos 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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