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Simplifying 4cos2x + -4cosx + -3 = 3 Reorder the terms: -3 + -4cosx + 4cos2x = 3 Solving -3 + -4cosx + 4cos2x = 3 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 + -4cosx + 3 + 4cos2x = 3 + 3 Reorder the terms: -3 + 3 + -4cosx + 4cos2x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -4cosx + 4cos2x = 3 + 3 -4cosx + 4cos2x = 3 + 3 Combine like terms: 3 + 3 = 6 -4cosx + 4cos2x = 6 Reorder the terms: -6 + -4cosx + 4cos2x = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -4cosx + 4cos2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -2cosx + 2cos2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -2cosx + 2cos2x)' equal to zero and attempt to solve: Simplifying -3 + -2cosx + 2cos2x = 0 Solving -3 + -2cosx + 2cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2cosx + 3 + 2cos2x = 0 + 3 Reorder the terms: -3 + 3 + -2cosx + 2cos2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2cosx + 2cos2x = 0 + 3 -2cosx + 2cos2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2cosx + 2cos2x = 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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