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Simplifying Cos(x + 85) = -1cos(5 + 3x) Reorder the terms: osC(85 + x) = -1cos(5 + 3x) (85 * osC + x * osC) = -1cos(5 + 3x) (85osC + osxC) = -1cos(5 + 3x) 85osC + osxC = (5 * -1cos + 3x * -1cos) 85osC + osxC = (-5cos + -3cosx) Solving 85osC + osxC = -5cos + -3cosx Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Add '5cos' to each side of the equation. 85osC + 5cos + osxC = -5cos + 5cos + -3cosx Reorder the terms: 5cos + 85osC + osxC = -5cos + 5cos + -3cosx Combine like terms: -5cos + 5cos = 0 5cos + 85osC + osxC = 0 + -3cosx 5cos + 85osC + osxC = -3cosx Add '3cosx' to each side of the equation. 5cos + 85osC + 3cosx + osxC = -3cosx + 3cosx Reorder the terms: 5cos + 3cosx + 85osC + osxC = -3cosx + 3cosx Combine like terms: -3cosx + 3cosx = 0 5cos + 3cosx + 85osC + osxC = 0 Factor out the Greatest Common Factor (GCF), 'os'. os(5c + 3cx + 85C + xC) = 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 '(5c + 3cx + 85C + xC)' equal to zero and attempt to solve: Simplifying 5c + 3cx + 85C + xC = 0 Reorder the terms: 85C + 5c + 3cx + xC = 0 Solving 85C + 5c + 3cx + xC = 0 Move all terms containing o to the left, all other terms to the right. Add '-85C' to each side of the equation. 85C + 5c + 3cx + -85C + xC = 0 + -85C Reorder the terms: 85C + -85C + 5c + 3cx + xC = 0 + -85C Combine like terms: 85C + -85C = 0 0 + 5c + 3cx + xC = 0 + -85C 5c + 3cx + xC = 0 + -85C Remove the zero: 5c + 3cx + xC = -85C Add '-5c' to each side of the equation. 5c + 3cx + -5c + xC = -85C + -5c Reorder the terms: 5c + -5c + 3cx + xC = -85C + -5c Combine like terms: 5c + -5c = 0 0 + 3cx + xC = -85C + -5c 3cx + xC = -85C + -5c Add '-3cx' to each side of the equation. 3cx + -3cx + xC = -85C + -5c + -3cx Combine like terms: 3cx + -3cx = 0 0 + xC = -85C + -5c + -3cx xC = -85C + -5c + -3cx Add '-1xC' to each side of the equation. xC + -1xC = -85C + -5c + -3cx + -1xC Combine like terms: xC + -1xC = 0 0 = -85C + -5c + -3cx + -1xC Simplifying 0 = -85C + -5c + -3cx + -1xC 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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