3cot^3x=cotx

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Solution for 3cot^3x=cotx equation:


Simplifying
3cot3x = cotx

Solving
3cot3x = cotx

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-1cotx' to each side of the equation.
-1cotx + 3cot3x = cotx + -1cotx

Combine like terms: cotx + -1cotx = 0
-1cotx + 3cot3x = 0

Factor out the Greatest Common Factor (GCF), 'cotx'.
cotx(-1 + 3t2) = 0

Subproblem 1

Set the factor 'cotx' equal to zero and attempt to solve: Simplifying cotx = 0 Solving cotx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cotx = 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 '(-1 + 3t2)' equal to zero and attempt to solve: Simplifying -1 + 3t2 = 0 Solving -1 + 3t2 = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3t2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3t2 = 0 + 1 3t2 = 0 + 1 Combine like terms: 0 + 1 = 1 3t2 = 1 Add '-3t2' to each side of the equation. 3t2 + -3t2 = 1 + -3t2 Combine like terms: 3t2 + -3t2 = 0 0 = 1 + -3t2 Simplifying 0 = 1 + -3t2 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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