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Simplifying 8cos2(3x) + 6cos(3x) + -4 = 0 Remove parenthesis around (3x) 8cos2 * 3x + 6cos(3x) + -4 = 0 Reorder the terms for easier multiplication: 8 * 3cos2 * x + 6cos(3x) + -4 = 0 Multiply 8 * 3 24cos2 * x + 6cos(3x) + -4 = 0 Multiply cos2 * x 24cos2x + 6cos(3x) + -4 = 0 Remove parenthesis around (3x) 24cos2x + 6cos * 3x + -4 = 0 Reorder the terms for easier multiplication: 24cos2x + 6 * 3cos * x + -4 = 0 Multiply 6 * 3 24cos2x + 18cos * x + -4 = 0 Multiply cos * x 24cos2x + 18cosx + -4 = 0 Reorder the terms: -4 + 18cosx + 24cos2x = 0 Solving -4 + 18cosx + 24cos2x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 18cosx + 4 + 24cos2x = 0 + 4 Reorder the terms: -4 + 4 + 18cosx + 24cos2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 18cosx + 24cos2x = 0 + 4 18cosx + 24cos2x = 0 + 4 Combine like terms: 0 + 4 = 4 18cosx + 24cos2x = 4 Reorder the terms: -4 + 18cosx + 24cos2x = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 18cosx + 24cos2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 9cosx + 12cos2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 9cosx + 12cos2x)' equal to zero and attempt to solve: Simplifying -2 + 9cosx + 12cos2x = 0 Solving -2 + 9cosx + 12cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 9cosx + 2 + 12cos2x = 0 + 2 Reorder the terms: -2 + 2 + 9cosx + 12cos2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9cosx + 12cos2x = 0 + 2 9cosx + 12cos2x = 0 + 2 Combine like terms: 0 + 2 = 2 9cosx + 12cos2x = 2 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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