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