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Simplifying 4cos(2x + -30) + -3 = 1 Reorder the terms: 4cos(-30 + 2x) + -3 = 1 (-30 * 4cos + 2x * 4cos) + -3 = 1 (-120cos + 8cosx) + -3 = 1 Reorder the terms: -3 + -120cos + 8cosx = 1 Solving -3 + -120cos + 8cosx = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -120cos + 3 + 8cosx = 1 + 3 Reorder the terms: -3 + 3 + -120cos + 8cosx = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -120cos + 8cosx = 1 + 3 -120cos + 8cosx = 1 + 3 Combine like terms: 1 + 3 = 4 -120cos + 8cosx = 4 Reorder the terms: -4 + -120cos + 8cosx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -120cos + 8cosx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -30cos + 2cosx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -30cos + 2cosx)' equal to zero and attempt to solve: Simplifying -1 + -30cos + 2cosx = 0 Solving -1 + -30cos + 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 + -30cos + 1 + 2cosx = 0 + 1 Reorder the terms: -1 + 1 + -30cos + 2cosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -30cos + 2cosx = 0 + 1 -30cos + 2cosx = 0 + 1 Combine like terms: 0 + 1 = 1 -30cos + 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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