tg(x)=3ctg(x)

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Solution for tg(x)=3ctg(x) equation: 


Simplifying
tg(x) = 3ctg(x)

Multiply gt * x
gtx = 3ctg(x)

Multiply cgt * x
gtx = 3cgtx

Solving
gtx = 3cgtx

Solving for variable 'g'.

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

Add '-3cgtx' to each side of the equation.
-3cgtx + gtx = 3cgtx + -3cgtx

Combine like terms: 3cgtx + -3cgtx = 0
-3cgtx + gtx = 0

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


Subproblem 1
Set the factor 'gtx' equal to zero and attempt to solve:

Simplifying
gtx = 0

Solving
gtx = 0

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

Simplifying
gtx = 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 '(-3c + 1)' equal to zero and attempt to solve:

Simplifying
-3c + 1 = 0

Reorder the terms:
1 + -3c = 0

Solving
1 + -3c = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3c = 0 + -1
-3c = 0 + -1

Combine like terms: 0 + -1 = -1
-3c = -1

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

Combine like terms: -3c + 3c = 0
0 = -1 + 3c

Simplifying
0 = -1 + 3c

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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