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Simplifying 6cos(x + 50) = 2 Reorder the terms: 6cos(50 + x) = 2 (50 * 6cos + x * 6cos) = 2 (300cos + 6cosx) = 2 Solving 300cos + 6cosx = 2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: -2 + 300cos + 6cosx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 300cos + 6cosx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 150cos + 3cosx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 150cos + 3cosx)' equal to zero and attempt to solve: Simplifying -1 + 150cos + 3cosx = 0 Solving -1 + 150cos + 3cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 150cos + 1 + 3cosx = 0 + 1 Reorder the terms: -1 + 1 + 150cos + 3cosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 150cos + 3cosx = 0 + 1 150cos + 3cosx = 0 + 1 Combine like terms: 0 + 1 = 1 150cos + 3cosx = 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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