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Simplifying 2cos(2x + 40) = 0 Reorder the terms: 2cos(40 + 2x) = 0 (40 * 2cos + 2x * 2cos) = 0 (80cos + 4cosx) = 0 Solving 80cos + 4cosx = 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), '4cos'. 4cos(20 + x) = 0 Ignore the factor 4.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 '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Add '-1x' to each side of the equation. x + -1x = -20 + -1x Combine like terms: x + -1x = 0 0 = -20 + -1x Simplifying 0 = -20 + -1x 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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