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Simplifying 0 = (16cos2x + 24cosx + 9) Reorder the terms: 0 = (9 + 24cosx + 16cos2x) Remove parenthesis around (9 + 24cosx + 16cos2x) 0 = 9 + 24cosx + 16cos2x Solving 0 = 9 + 24cosx + 16cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24cosx' to each side of the equation. 0 + -24cosx = 9 + 24cosx + -24cosx + 16cos2x Remove the zero: -24cosx = 9 + 24cosx + -24cosx + 16cos2x Combine like terms: 24cosx + -24cosx = 0 -24cosx = 9 + 0 + 16cos2x -24cosx = 9 + 16cos2x Add '-16cos2x' to each side of the equation. -24cosx + -16cos2x = 9 + 16cos2x + -16cos2x Combine like terms: 16cos2x + -16cos2x = 0 -24cosx + -16cos2x = 9 + 0 -24cosx + -16cos2x = 9 Reorder the terms: -9 + -24cosx + -16cos2x = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -24cosx + -16cos2x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 24cosx + 16cos2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + 24cosx + 16cos2x)' equal to zero and attempt to solve: Simplifying 9 + 24cosx + 16cos2x = 0 Solving 9 + 24cosx + 16cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 24cosx + -9 + 16cos2x = 0 + -9 Reorder the terms: 9 + -9 + 24cosx + 16cos2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 24cosx + 16cos2x = 0 + -9 24cosx + 16cos2x = 0 + -9 Combine like terms: 0 + -9 = -9 24cosx + 16cos2x = -9 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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