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Simplifying cos2(3x) + -8cos(3x) + -9 = 0 Remove parenthesis around (3x) cos2 * 3x + -8cos(3x) + -9 = 0 Reorder the terms for easier multiplication: 3cos2 * x + -8cos(3x) + -9 = 0 Multiply cos2 * x 3cos2x + -8cos(3x) + -9 = 0 Remove parenthesis around (3x) 3cos2x + -8cos * 3x + -9 = 0 Reorder the terms for easier multiplication: 3cos2x + -8 * 3cos * x + -9 = 0 Multiply -8 * 3 3cos2x + -24cos * x + -9 = 0 Multiply cos * x 3cos2x + -24cosx + -9 = 0 Reorder the terms: -9 + -24cosx + 3cos2x = 0 Solving -9 + -24cosx + 3cos2x = 0 Solving for variable 'c'. 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 + 3cos2x = 0 + 9 Reorder the terms: -9 + 9 + -24cosx + 3cos2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -24cosx + 3cos2x = 0 + 9 -24cosx + 3cos2x = 0 + 9 Combine like terms: 0 + 9 = 9 -24cosx + 3cos2x = 9 Reorder the terms: -9 + -24cosx + 3cos2x = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -24cosx + 3cos2x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + -8cosx + cos2x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -8cosx + cos2x)' equal to zero and attempt to solve: Simplifying -3 + -8cosx + cos2x = 0 Solving -3 + -8cosx + cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -8cosx + 3 + cos2x = 0 + 3 Reorder the terms: -3 + 3 + -8cosx + cos2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8cosx + cos2x = 0 + 3 -8cosx + cos2x = 0 + 3 Combine like terms: 0 + 3 = 3 -8cosx + cos2x = 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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