Tan(3x)(tanx-1)=0

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Solution for Tan(3x)(tanx-1)=0 equation: 


Simplifying
Tan(3x)(tanx + -1) = 0

Remove parenthesis around (3x)
anT * 3x(tanx + -1) = 0

Reorder the terms:
anT * 3x(-1 + antx) = 0

Reorder the terms for easier multiplication:
3anT * x(-1 + antx) = 0

Multiply anT * x
3anxT(-1 + antx) = 0
(-1 * 3anxT + antx * 3anxT) = 0
(-3anxT + 3a2n2tx2T) = 0

Solving
-3anxT + 3a2n2tx2T = 0

Solving for variable 'a'.

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

Ignore the factor 3.

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

Simplifying
anxT = 0

Solving
anxT = 0

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

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

Simplifying
-1 + antx = 0

Solving
-1 + antx = 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 + antx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + antx = 0 + 1
antx = 0 + 1

Combine like terms: 0 + 1 = 1
antx = 1

Divide each side by 'ntx'.
a = n-1t-1x-1

Simplifying
a = n-1t-1x-1
Solution
a = {n-1t-1x-1}

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