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Simplifying 4cotx = 5cosx Solving 4cotx = 5cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5cosx' to each side of the equation. -5cosx + 4cotx = 5cosx + -5cosx Combine like terms: 5cosx + -5cosx = 0 -5cosx + 4cotx = 0 Factor out the Greatest Common Factor (GCF), 'cox'. cox(-5s + 4t) = 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 + 4t)' equal to zero and attempt to solve: Simplifying -5s + 4t = 0 Solving -5s + 4t = 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 + 4t = 0 + 5s Combine like terms: -5s + 5s = 0 0 + 4t = 0 + 5s 4t = 0 + 5s Remove the zero: 4t = 5s Add '-4t' to each side of the equation. 4t + -4t = 5s + -4t Combine like terms: 4t + -4t = 0 0 = 5s + -4t Simplifying 0 = 5s + -4t 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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