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Simplifying x = 3cos(1.3x) Remove parenthesis around (1.3x) x = 3cos * 1.3x Reorder the terms for easier multiplication: x = 3 * 1.3cos * x Multiply 3 * 1.3 x = 3.9cos * x Multiply cos * x x = 3.9cosx Solving x = 3.9cosx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.9cosx' to each side of the equation. -3.9cosx + x = 3.9cosx + -3.9cosx Combine like terms: 3.9cosx + -3.9cosx = 0.0 -3.9cosx + x = 0.0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3.9cos + 1) = 0.0Subproblem 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 '(-3.9cos + 1)' equal to zero and attempt to solve: Simplifying -3.9cos + 1 = 0 Reorder the terms: 1 + -3.9cos = 0 Solving 1 + -3.9cos = 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 + -3.9cos = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3.9cos = 0 + -1 -3.9cos = 0 + -1 Combine like terms: 0 + -1 = -1 -3.9cos = -1 Add '3.9cos' to each side of the equation. -3.9cos + 3.9cos = -1 + 3.9cos Combine like terms: -3.9cos + 3.9cos = 0.0 0.0 = -1 + 3.9cos Simplifying 0.0 = -1 + 3.9cos 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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