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Simplifying 2x = 3(cos(x)) Multiply cos * x 2x = 3(cosx) Solving 2x = 3cosx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3cosx' to each side of the equation. -3cosx + 2x = 3cosx + -3cosx Combine like terms: 3cosx + -3cosx = 0 -3cosx + 2x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3cos + 2) = 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 '(-3cos + 2)' equal to zero and attempt to solve: Simplifying -3cos + 2 = 0 Reorder the terms: 2 + -3cos = 0 Solving 2 + -3cos = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3cos = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3cos = 0 + -2 -3cos = 0 + -2 Combine like terms: 0 + -2 = -2 -3cos = -2 Add '3cos' to each side of the equation. -3cos + 3cos = -2 + 3cos Combine like terms: -3cos + 3cos = 0 0 = -2 + 3cos Simplifying 0 = -2 + 3cos 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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