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Simplifying 6cos(x + 1) + -2 = 1 Reorder the terms: 6cos(1 + x) + -2 = 1 (1 * 6cos + x * 6cos) + -2 = 1 (6cos + 6cosx) + -2 = 1 Reorder the terms: -2 + 6cos + 6cosx = 1 Solving -2 + 6cos + 6cosx = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 6cos + 2 + 6cosx = 1 + 2 Reorder the terms: -2 + 2 + 6cos + 6cosx = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 6cos + 6cosx = 1 + 2 6cos + 6cosx = 1 + 2 Combine like terms: 1 + 2 = 3 6cos + 6cosx = 3 Reorder the terms: -3 + 6cos + 6cosx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 6cos + 6cosx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 2cos + 2cosx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + 2cos + 2cosx)' equal to zero and attempt to solve: Simplifying -1 + 2cos + 2cosx = 0 Solving -1 + 2cos + 2cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2cos + 1 + 2cosx = 0 + 1 Reorder the terms: -1 + 1 + 2cos + 2cosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2cos + 2cosx = 0 + 1 2cos + 2cosx = 0 + 1 Combine like terms: 0 + 1 = 1 2cos + 2cosx = 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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