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Simplifying 5cosx = 3cotx Solving 5cosx = 3cotx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3cotx' to each side of the equation. 5cosx + -3cotx = 3cotx + -3cotx Combine like terms: 3cotx + -3cotx = 0 5cosx + -3cotx = 0 Factor out the Greatest Common Factor (GCF), 'cox'. cox(5s + -3t) = 0Subproblem 1
Set the factor 'cox' equal to zero and attempt to solve: Simplifying cox = 0 Solving cox = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cox = 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 '(5s + -3t)' equal to zero and attempt to solve: Simplifying 5s + -3t = 0 Solving 5s + -3t = 0 Move all terms containing c to the left, all other terms to the right. Add '-5s' to each side of the equation. 5s + -5s + -3t = 0 + -5s Combine like terms: 5s + -5s = 0 0 + -3t = 0 + -5s -3t = 0 + -5s Remove the zero: -3t = -5s Add '3t' to each side of the equation. -3t + 3t = -5s + 3t Combine like terms: -3t + 3t = 0 0 = -5s + 3t Simplifying 0 = -5s + 3t 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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