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Simplifying cosx(36 + x) + cos(x) = 0 (36 * cosx + x * cosx) + cos(x) = 0 (36cosx + cosx2) + cos(x) = 0 Multiply cos * x 36cosx + cosx2 + cosx = 0 Reorder the terms: 36cosx + cosx + cosx2 = 0 Combine like terms: 36cosx + cosx = 37cosx 37cosx + cosx2 = 0 Solving 37cosx + cosx2 = 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), 'cosx'. cosx(37 + x) = 0Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 '(37 + x)' equal to zero and attempt to solve: Simplifying 37 + x = 0 Solving 37 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + x = 0 + -37 x = 0 + -37 Combine like terms: 0 + -37 = -37 x = -37 Add '-1x' to each side of the equation. x + -1x = -37 + -1x Combine like terms: x + -1x = 0 0 = -37 + -1x Simplifying 0 = -37 + -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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