Tan(3x)-11tan(x)=0

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Solution for Tan(3x)-11tan(x)=0 equation: 


Simplifying
Tan(3x) + -11tan(x) = 0

Remove parenthesis around (3x)
anT * 3x + -11tan(x) = 0

Reorder the terms for easier multiplication:
3anT * x + -11tan(x) = 0

Multiply anT * x
3anxT + -11tan(x) = 0

Multiply ant * x
3anxT + -11antx = 0

Reorder the terms:
-11antx + 3anxT = 0

Solving
-11antx + 3anxT = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'anx'.
anx(-11t + 3T) = 0


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

Simplifying
anx = 0

Solving
anx = 0

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

Simplifying
anx = 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 '(-11t + 3T)' equal to zero and attempt to solve:

Simplifying
-11t + 3T = 0

Reorder the terms:
3T + -11t = 0

Solving
3T + -11t = 0

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

Add '-3T' to each side of the equation.
3T + -3T + -11t = 0 + -3T

Combine like terms: 3T + -3T = 0
0 + -11t = 0 + -3T
-11t = 0 + -3T
Remove the zero:
-11t = -3T

Add '11t' to each side of the equation.
-11t + 11t = -3T + 11t

Combine like terms: -11t + 11t = 0
0 = -3T + 11t

Simplifying
0 = -3T + 11t

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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