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Simplifying 2cos(3x) + cos(2x + 1) = 0 Remove parenthesis around (3x) 2cos * 3x + cos(2x + 1) = 0 Reorder the terms for easier multiplication: 2 * 3cos * x + cos(2x + 1) = 0 Multiply 2 * 3 6cos * x + cos(2x + 1) = 0 Multiply cos * x 6cosx + cos(2x + 1) = 0 Reorder the terms: 6cosx + cos(1 + 2x) = 0 6cosx + (1 * cos + 2x * cos) = 0 6cosx + (1cos + 2cosx) = 0 Reorder the terms: 1cos + 6cosx + 2cosx = 0 Combine like terms: 6cosx + 2cosx = 8cosx 1cos + 8cosx = 0 Solving 1cos + 8cosx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'cos'. cos(1 + 8x) = 0Subproblem 1
Set the factor 'cos' equal to zero and attempt to solve: Simplifying cos = 0 Solving cos = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Add '-8x' to each side of the equation. 8x + -8x = -1 + -8x Combine like terms: 8x + -8x = 0 0 = -1 + -8x Simplifying 0 = -1 + -8x 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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