Tan^3(x)=3tan(x)

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Solution for Tan^3(x)=3tan(x) equation: 


Simplifying
Tan3(x) = 3tan(x)

Multiply an3T * x
an3xT = 3tan(x)

Multiply ant * x
an3xT = 3antx

Solving
an3xT = 3antx

Solving for variable 'a'.

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

Add '-3antx' to each side of the equation.
-3antx + an3xT = 3antx + -3antx

Combine like terms: 3antx + -3antx = 0
-3antx + an3xT = 0

Factor out the Greatest Common Factor (GCF), 'anx'.
anx(-3t + n2T) = 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 '(-3t + n2T)' equal to zero and attempt to solve:

Simplifying
-3t + n2T = 0

Reorder the terms:
n2T + -3t = 0

Solving
n2T + -3t = 0

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

Add '-1n2T' to each side of the equation.
n2T + -1n2T + -3t = 0 + -1n2T

Combine like terms: n2T + -1n2T = 0
0 + -3t = 0 + -1n2T
-3t = 0 + -1n2T
Remove the zero:
-3t = -1n2T

Add '3t' to each side of the equation.
-3t + 3t = -1n2T + 3t

Combine like terms: -3t + 3t = 0
0 = -1n2T + 3t

Simplifying
0 = -1n2T + 3t

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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