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