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