12tan^3(x)=4tan(x)

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Solution for 12tan^3(x)=4tan(x) equation: 


Simplifying
12tan3(x) = 4tan(x)

Multiply an3t * x
12an3tx = 4tan(x)

Multiply ant * x
12an3tx = 4antx

Solving
12an3tx = 4antx

Solving for variable 'a'.

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

Add '-4antx' to each side of the equation.
-4antx + 12an3tx = 4antx + -4antx

Combine like terms: 4antx + -4antx = 0
-4antx + 12an3tx = 0

Factor out the Greatest Common Factor (GCF), '4antx'.
4antx(-1 + 3n2) = 0

Ignore the factor 4.

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

Simplifying
antx = 0

Solving
antx = 0

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

Simplifying
antx = 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 + 3n2)' equal to zero and attempt to solve:

Simplifying
-1 + 3n2 = 0

Solving
-1 + 3n2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3n2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3n2 = 0 + 1
3n2 = 0 + 1

Combine like terms: 0 + 1 = 1
3n2 = 1

Add '-3n2' to each side of the equation.
3n2 + -3n2 = 1 + -3n2

Combine like terms: 3n2 + -3n2 = 0
0 = 1 + -3n2

Simplifying
0 = 1 + -3n2

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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