tan(2x)*tan(6x)=1

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Solution for tan(2x)*tan(6x)=1 equation: 


Simplifying
tan(2x) * tan(6x) = 1

Remove parenthesis around (2x)
ant * 2x * tan(6x) = 1

Remove parenthesis around (6x)
ant * 2x * ant * 6x = 1

Reorder the terms for easier multiplication:
2 * 6ant * x * ant * x = 1

Multiply 2 * 6
12ant * x * ant * x = 1

Multiply ant * x
12antx * ant * x = 1

Multiply antx * ant
12a2n2t2x * x = 1

Multiply a2n2t2x * x
12a2n2t2x2 = 1

Solving
12a2n2t2x2 = 1

Solving for variable 'a'.

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

Divide each side by '12n2t2x2'.
a2 = 0.08333333333n-2t-2x-2

Simplifying
a2 = 0.08333333333n-2t-2x-2

Take the square root of each side:
a = {-0.288675135n-1t-1x-1, 0.288675135n-1t-1x-1}

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