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Simplifying 9cos(2x) = 27cos + -18 Remove parenthesis around (2x) 9cos * 2x = 27cos + -18 Reorder the terms for easier multiplication: 9 * 2cos * x = 27cos + -18 Multiply 9 * 2 18cos * x = 27cos + -18 Multiply cos * x 18cosx = 27cos + -18 Reorder the terms: 18cosx = -18 + 27cos Solving 18cosx = -18 + 27cos Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-27cos' to each side of the equation. -27cos + 18cosx = -18 + 27cos + -27cos Combine like terms: 27cos + -27cos = 0 -27cos + 18cosx = -18 + 0 -27cos + 18cosx = -18 Reorder the terms: 18 + -27cos + 18cosx = -18 + 18 Combine like terms: -18 + 18 = 0 18 + -27cos + 18cosx = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(2 + -3cos + 2cosx) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(2 + -3cos + 2cosx)' equal to zero and attempt to solve: Simplifying 2 + -3cos + 2cosx = 0 Solving 2 + -3cos + 2cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3cos + -2 + 2cosx = 0 + -2 Reorder the terms: 2 + -2 + -3cos + 2cosx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3cos + 2cosx = 0 + -2 -3cos + 2cosx = 0 + -2 Combine like terms: 0 + -2 = -2 -3cos + 2cosx = -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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