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Simplifying cos(2x + -10) = 50 Reorder the terms: cos(-10 + 2x) = 50 (-10 * cos + 2x * cos) = 50 (-10cos + 2cosx) = 50 Solving -10cos + 2cosx = 50 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: -50 + -10cos + 2cosx = 50 + -50 Combine like terms: 50 + -50 = 0 -50 + -10cos + 2cosx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-25 + -5cos + cosx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-25 + -5cos + cosx)' equal to zero and attempt to solve: Simplifying -25 + -5cos + cosx = 0 Solving -25 + -5cos + cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '25' to each side of the equation. -25 + -5cos + 25 + cosx = 0 + 25 Reorder the terms: -25 + 25 + -5cos + cosx = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -5cos + cosx = 0 + 25 -5cos + cosx = 0 + 25 Combine like terms: 0 + 25 = 25 -5cos + cosx = 25 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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