-2cot(x)=3sec(x)

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Solution for -2cot(x)=3sec(x) equation:


Simplifying
-2cot(x) = 3sec(x)

Multiply cot * x
-2cotx = 3sec(x)

Multiply ces * x
-2cotx = 3cesx

Solving
-2cotx = 3cesx

Solving for variable 'c'.

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

Add '-3cesx' to each side of the equation.
-3cesx + -2cotx = 3cesx + -3cesx

Combine like terms: 3cesx + -3cesx = 0
-3cesx + -2cotx = 0

Factor out the Greatest Common Factor (GCF), '-1cx'.
-1cx(3es + 2ot) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'cx' equal to zero and attempt to solve: Simplifying cx = 0 Solving cx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cx = 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 '(3es + 2ot)' equal to zero and attempt to solve: Simplifying 3es + 2ot = 0 Solving 3es + 2ot = 0 Move all terms containing c to the left, all other terms to the right. Add '-3es' to each side of the equation. 3es + -3es + 2ot = 0 + -3es Combine like terms: 3es + -3es = 0 0 + 2ot = 0 + -3es 2ot = 0 + -3es Remove the zero: 2ot = -3es Add '-2ot' to each side of the equation. 2ot + -2ot = -3es + -2ot Combine like terms: 2ot + -2ot = 0 0 = -3es + -2ot Simplifying 0 = -3es + -2ot 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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