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Simplifying 125 = 135cos(x + -10) Reorder the terms: 125 = 135cos(-10 + x) 125 = (-10 * 135cos + x * 135cos) 125 = (-1350cos + 135cosx) Solving 125 = -1350cos + 135cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '1350cos' to each side of the equation. 125 + 1350cos = -1350cos + 1350cos + 135cosx Combine like terms: -1350cos + 1350cos = 0 125 + 1350cos = 0 + 135cosx 125 + 1350cos = 135cosx Add '-135cosx' to each side of the equation. 125 + 1350cos + -135cosx = 135cosx + -135cosx Combine like terms: 135cosx + -135cosx = 0 125 + 1350cos + -135cosx = 0 Add '-125' to each side of the equation. 125 + 1350cos + -125 + -135cosx = 0 + -125 Reorder the terms: 125 + -125 + 1350cos + -135cosx = 0 + -125 Combine like terms: 125 + -125 = 0 0 + 1350cos + -135cosx = 0 + -125 1350cos + -135cosx = 0 + -125 Combine like terms: 0 + -125 = -125 1350cos + -135cosx = -125 Reorder the terms: 125 + 1350cos + -135cosx = -125 + 125 Combine like terms: -125 + 125 = 0 125 + 1350cos + -135cosx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(25 + 270cos + -27cosx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(25 + 270cos + -27cosx)' equal to zero and attempt to solve: Simplifying 25 + 270cos + -27cosx = 0 Solving 25 + 270cos + -27cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 270cos + -25 + -27cosx = 0 + -25 Reorder the terms: 25 + -25 + 270cos + -27cosx = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 270cos + -27cosx = 0 + -25 270cos + -27cosx = 0 + -25 Combine like terms: 0 + -25 = -25 270cos + -27cosx = -25 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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