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Simplifying cos(2x + -40) + -1cos(42) = 0 Reorder the terms: cos(-40 + 2x) + -1cos(42) = 0 (-40 * cos + 2x * cos) + -1cos(42) = 0 (-40cos + 2cosx) + -1cos(42) = 0 Reorder the terms for easier multiplication: -40cos + 2cosx + -1 * 42cos = 0 Multiply -1 * 42 -40cos + 2cosx + -42cos = 0 Reorder the terms: -40cos + -42cos + 2cosx = 0 Combine like terms: -40cos + -42cos = -82cos -82cos + 2cosx = 0 Solving -82cos + 2cosx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2cos'. 2cos(-41 + x) = 0 Ignore the factor 2.Subproblem 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 '(-41 + x)' equal to zero and attempt to solve: Simplifying -41 + x = 0 Solving -41 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + x = 0 + 41 x = 0 + 41 Combine like terms: 0 + 41 = 41 x = 41 Add '-1x' to each side of the equation. x + -1x = 41 + -1x Combine like terms: x + -1x = 0 0 = 41 + -1x Simplifying 0 = 41 + -1x 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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