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Simplifying F(x) = 3cos(x * 8) Multiply F * x xF = 3cos(x * 8) Reorder the terms for easier multiplication: xF = 3cos(8x) Remove parenthesis around (8x) xF = 3cos * 8x Reorder the terms for easier multiplication: xF = 3 * 8cos * x Multiply 3 * 8 xF = 24cos * x Multiply cos * x xF = 24cosx Solving xF = 24cosx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24cosx' to each side of the equation. -24cosx + xF = 24cosx + -24cosx Combine like terms: 24cosx + -24cosx = 0 -24cosx + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-24cos + F) = 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 '(-24cos + F)' equal to zero and attempt to solve: Simplifying -24cos + F = 0 Reorder the terms: F + -24cos = 0 Solving F + -24cos = 0 Move all terms containing x to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -1F + -24cos = 0 + -1F Combine like terms: F + -1F = 0 0 + -24cos = 0 + -1F -24cos = 0 + -1F Remove the zero: -24cos = -1F Add '24cos' to each side of the equation. -24cos + 24cos = -1F + 24cos Combine like terms: -24cos + 24cos = 0 0 = -1F + 24cos Simplifying 0 = -1F + 24cos 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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