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