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Simplifying 4cos(2x + -30) + 3 = 1 Reorder the terms: 4cos(-30 + 2x) + 3 = 1 (-30 * 4cos + 2x * 4cos) + 3 = 1 (-120cos + 8cosx) + 3 = 1 Reorder the terms: 3 + -120cos + 8cosx = 1 Solving 3 + -120cos + 8cosx = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -120cos + -3 + 8cosx = 1 + -3 Reorder the terms: 3 + -3 + -120cos + 8cosx = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -120cos + 8cosx = 1 + -3 -120cos + 8cosx = 1 + -3 Combine like terms: 1 + -3 = -2 -120cos + 8cosx = -2 Reorder the terms: 2 + -120cos + 8cosx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -120cos + 8cosx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -60cos + 4cosx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -60cos + 4cosx)' equal to zero and attempt to solve: Simplifying 1 + -60cos + 4cosx = 0 Solving 1 + -60cos + 4cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -60cos + -1 + 4cosx = 0 + -1 Reorder the terms: 1 + -1 + -60cos + 4cosx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -60cos + 4cosx = 0 + -1 -60cos + 4cosx = 0 + -1 Combine like terms: 0 + -1 = -1 -60cos + 4cosx = -1 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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