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Simplifying 0 = cos(8 + -3x) 0 = (8 * cos + -3x * cos) 0 = (8cos + -3cosx) Solving 0 = 8cos + -3cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8cos' to each side of the equation. 0 + -8cos = 8cos + -8cos + -3cosx Remove the zero: -8cos = 8cos + -8cos + -3cosx Combine like terms: 8cos + -8cos = 0 -8cos = 0 + -3cosx -8cos = -3cosx Add '3cosx' to each side of the equation. -8cos + 3cosx = -3cosx + 3cosx Combine like terms: -3cosx + 3cosx = 0 -8cos + 3cosx = 0 Factor out the Greatest Common Factor (GCF), 'cos'. cos(-8 + 3x) = 0Subproblem 1
Set the factor 'cos' equal to zero and attempt to solve: Simplifying cos = 0 Solving cos = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-8 + 3x)' equal to zero and attempt to solve: Simplifying -8 + 3x = 0 Solving -8 + 3x = 0 Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 0 + 8 3x = 0 + 8 Combine like terms: 0 + 8 = 8 3x = 8 Add '-3x' to each side of the equation. 3x + -3x = 8 + -3x Combine like terms: 3x + -3x = 0 0 = 8 + -3x Simplifying 0 = 8 + -3x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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