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Simplifying 2cot4x + -6cot2x + 4 = 0 Reorder the terms: 4 + -6cot2x + 2cot4x = 0 Solving 4 + -6cot2x + 2cot4x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -6cot2x + -4 + 2cot4x = 0 + -4 Reorder the terms: 4 + -4 + -6cot2x + 2cot4x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6cot2x + 2cot4x = 0 + -4 -6cot2x + 2cot4x = 0 + -4 Combine like terms: 0 + -4 = -4 -6cot2x + 2cot4x = -4 Reorder the terms: 4 + -6cot2x + 2cot4x = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -6cot2x + 2cot4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -3cot2x + cot4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -3cot2x + cot4x)' equal to zero and attempt to solve: Simplifying 2 + -3cot2x + cot4x = 0 Solving 2 + -3cot2x + cot4x = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3cot2x + -2 + cot4x = 0 + -2 Reorder the terms: 2 + -2 + -3cot2x + cot4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3cot2x + cot4x = 0 + -2 -3cot2x + cot4x = 0 + -2 Combine like terms: 0 + -2 = -2 -3cot2x + cot4x = -2 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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