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Simplifying y = 2cot(y) Multiply cot * y y = 2coty Solving y = 2coty Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2coty' to each side of the equation. -2coty + y = 2coty + -2coty Combine like terms: 2coty + -2coty = 0 -2coty + y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-2cot + 1) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-2cot + 1)' equal to zero and attempt to solve: Simplifying -2cot + 1 = 0 Reorder the terms: 1 + -2cot = 0 Solving 1 + -2cot = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2cot = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2cot = 0 + -1 -2cot = 0 + -1 Combine like terms: 0 + -1 = -1 -2cot = -1 Add '2cot' to each side of the equation. -2cot + 2cot = -1 + 2cot Combine like terms: -2cot + 2cot = 0 0 = -1 + 2cot Simplifying 0 = -1 + 2cot The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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