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Simplifying cos(36 + x) + cos(x) = 0 (36 * cos + x * cos) + cos(x) = 0 (36cos + cosx) + cos(x) = 0 Multiply cos * x 36cos + cosx + cosx = 0 Combine like terms: cosx + cosx = 2cosx 36cos + 2cosx = 0 Solving 36cos + 2cosx = 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), '2cos'. 2cos(18 + x) = 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 '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Add '-1x' to each side of the equation. x + -1x = -18 + -1x Combine like terms: x + -1x = 0 0 = -18 + -1x Simplifying 0 = -18 + -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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