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Simplifying 6cos(2x + 3) + -4 = -1 Reorder the terms: 6cos(3 + 2x) + -4 = -1 (3 * 6cos + 2x * 6cos) + -4 = -1 (18cos + 12cosx) + -4 = -1 Reorder the terms: -4 + 18cos + 12cosx = -1 Solving -4 + 18cos + 12cosx = -1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 18cos + 4 + 12cosx = -1 + 4 Reorder the terms: -4 + 4 + 18cos + 12cosx = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 18cos + 12cosx = -1 + 4 18cos + 12cosx = -1 + 4 Combine like terms: -1 + 4 = 3 18cos + 12cosx = 3 Reorder the terms: -3 + 18cos + 12cosx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 18cos + 12cosx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 6cos + 4cosx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + 6cos + 4cosx)' equal to zero and attempt to solve: Simplifying -1 + 6cos + 4cosx = 0 Solving -1 + 6cos + 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 + 6cos + 1 + 4cosx = 0 + 1 Reorder the terms: -1 + 1 + 6cos + 4cosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6cos + 4cosx = 0 + 1 6cos + 4cosx = 0 + 1 Combine like terms: 0 + 1 = 1 6cos + 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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