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Simplifying 5cos(x + -3) + 1 = -4 Reorder the terms: 5cos(-3 + x) + 1 = -4 (-3 * 5cos + x * 5cos) + 1 = -4 (-15cos + 5cosx) + 1 = -4 Reorder the terms: 1 + -15cos + 5cosx = -4 Solving 1 + -15cos + 5cosx = -4 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -15cos + -1 + 5cosx = -4 + -1 Reorder the terms: 1 + -1 + -15cos + 5cosx = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -15cos + 5cosx = -4 + -1 -15cos + 5cosx = -4 + -1 Combine like terms: -4 + -1 = -5 -15cos + 5cosx = -5 Reorder the terms: 5 + -15cos + 5cosx = -5 + 5 Combine like terms: -5 + 5 = 0 5 + -15cos + 5cosx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(1 + -3cos + cosx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -3cos + cosx)' equal to zero and attempt to solve: Simplifying 1 + -3cos + cosx = 0 Solving 1 + -3cos + cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3cos + -1 + cosx = 0 + -1 Reorder the terms: 1 + -1 + -3cos + cosx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3cos + cosx = 0 + -1 -3cos + cosx = 0 + -1 Combine like terms: 0 + -1 = -1 -3cos + cosx = -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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