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Simplifying 8cos(-2x + 30) = 0 Reorder the terms: 8cos(30 + -2x) = 0 (30 * 8cos + -2x * 8cos) = 0 (240cos + -16cosx) = 0 Solving 240cos + -16cosx = 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), '16cos'. 16cos(15 + -1x) = 0 Ignore the factor 16.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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing c to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Add 'x' to each side of the equation. -1x + x = -15 + x Combine like terms: -1x + x = 0 0 = -15 + x Simplifying 0 = -15 + x 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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