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Simplifying Cos(3x + -10) = cos(5x + -40) Reorder the terms: osC(-10 + 3x) = cos(5x + -40) (-10 * osC + 3x * osC) = cos(5x + -40) (-10osC + 3osxC) = cos(5x + -40) Reorder the terms: -10osC + 3osxC = cos(-40 + 5x) -10osC + 3osxC = (-40 * cos + 5x * cos) -10osC + 3osxC = (-40cos + 5cosx) Solving -10osC + 3osxC = -40cos + 5cosx Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Add '40cos' to each side of the equation. -10osC + 40cos + 3osxC = -40cos + 40cos + 5cosx Reorder the terms: 40cos + -10osC + 3osxC = -40cos + 40cos + 5cosx Combine like terms: -40cos + 40cos = 0 40cos + -10osC + 3osxC = 0 + 5cosx 40cos + -10osC + 3osxC = 5cosx Add '-5cosx' to each side of the equation. 40cos + -10osC + -5cosx + 3osxC = 5cosx + -5cosx Reorder the terms: 40cos + -5cosx + -10osC + 3osxC = 5cosx + -5cosx Combine like terms: 5cosx + -5cosx = 0 40cos + -5cosx + -10osC + 3osxC = 0 Factor out the Greatest Common Factor (GCF), 'os'. os(40c + -5cx + -10C + 3xC) = 0Subproblem 1
Set the factor 'os' equal to zero and attempt to solve: Simplifying os = 0 Solving os = 0 Move all terms containing o to the left, all other terms to the right. Simplifying os = 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 '(40c + -5cx + -10C + 3xC)' equal to zero and attempt to solve: Simplifying 40c + -5cx + -10C + 3xC = 0 Reorder the terms: -10C + 40c + -5cx + 3xC = 0 Solving -10C + 40c + -5cx + 3xC = 0 Move all terms containing o to the left, all other terms to the right. Add '10C' to each side of the equation. -10C + 40c + -5cx + 10C + 3xC = 0 + 10C Reorder the terms: -10C + 10C + 40c + -5cx + 3xC = 0 + 10C Combine like terms: -10C + 10C = 0 0 + 40c + -5cx + 3xC = 0 + 10C 40c + -5cx + 3xC = 0 + 10C Remove the zero: 40c + -5cx + 3xC = 10C Add '-40c' to each side of the equation. 40c + -5cx + -40c + 3xC = 10C + -40c Reorder the terms: 40c + -40c + -5cx + 3xC = 10C + -40c Combine like terms: 40c + -40c = 0 0 + -5cx + 3xC = 10C + -40c -5cx + 3xC = 10C + -40c Add '5cx' to each side of the equation. -5cx + 5cx + 3xC = 10C + -40c + 5cx Combine like terms: -5cx + 5cx = 0 0 + 3xC = 10C + -40c + 5cx 3xC = 10C + -40c + 5cx Add '-3xC' to each side of the equation. 3xC + -3xC = 10C + -40c + 5cx + -3xC Combine like terms: 3xC + -3xC = 0 0 = 10C + -40c + 5cx + -3xC Simplifying 0 = 10C + -40c + 5cx + -3xC 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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