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Simplifying (9x) = cos(11x) Remove parenthesis around (11x) (9x) = cos * 11x Reorder the terms for easier multiplication: (9x) = 11cos * x Multiply cos * x (9x) = 11cosx Solving (9x) = 11cosx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11cosx' to each side of the equation. -11cosx + (9x) = 11cosx + -11cosx Combine like terms: 11cosx + -11cosx = 0 -11cosx + (9x) = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-11cos + 9) = 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 '(-11cos + 9)' equal to zero and attempt to solve: Simplifying -11cos + 9 = 0 Reorder the terms: 9 + -11cos = 0 Solving 9 + -11cos = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -11cos = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -11cos = 0 + -9 -11cos = 0 + -9 Combine like terms: 0 + -9 = -9 -11cos = -9 Add '11cos' to each side of the equation. -11cos + 11cos = -9 + 11cos Combine like terms: -11cos + 11cos = 0 0 = -9 + 11cos Simplifying 0 = -9 + 11cos 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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